Trigonometryhttps://en.wiktionary.org

Chapter 1

arccosecant

1.1 English

1.1.1 Etymology

arc- + cosecant

1.1.2 Noun

arccosecant (plural arccosecants)

1. (trigonometry) function that is the compositional inverse of the cosecant function. Symbol: arccsc

1.1.3 See also

• Arccosecant on Wikipedia.Wikipedia

2

Chapter 2

arccosine

2.1 English

2.1.1 Etymology

arc- + cosine

2.1.2 Noun

arccosine (plural arccosines)

1. (trigonometry) Any of several single-valued or multivalued functions that are inverses of the cosine function.

Synonyms

• inverse cosine

• arccos (abbreviation)

• cos*−1

Translations

inverse of the cosine function

2.1.3 See also

• Arccosine on Wikipedia.Wikipedia

3

4 CHAPTER 2. ARCCOSINE

Arccosine function

Chapter 3

arccotangent

3.1 English

Arccotangent function

3.1.1 Etymology

arc- + cotangent

3.1.2 Noun

arccotangent (uncountable)

1. (trigonometry) An inverse of the cotangent function. Symbol: arccot

Translations

inverse of the cotangent function

5

6 CHAPTER 3. ARCCOTANGENT

3.1.3 See also

• Arccotangent on Wikipedia.Wikipedia

Chapter 4

arcsch

4.1 English

4.1.1 Etymology

arc- + sch

4.1.2 Noun

arcsch (plural arcschs)

1. (trigonometry) The area hyperbolic cosecant function, i.e., the inverse hyperbolic cosecant function.

See also

• arccoth

• arcsech

• csch

• Arsch

7

Chapter 5

arcsecant

5.1 English

Wikipedia

5.1.1 Etymology

arc- + secant

5.1.2 Noun

arcsecant (plural arcsecants)

1. (trigonometry) function that is the compositional inverse of the secant function. Symbol: arcsec

5.1.3 Anagrams

• carcanets

8

Chapter 6

arcsech

6.1 English

6.1.1 Etymology

arc- + sech

6.1.2 Noun

arcsech (plural arcsechs)

1. (trigonometry) The inverse hyberbolic secant function

6.1.3 See also

• arccoth

• arcsch

• coth

6.1.4 Anagrams

• cachers

9

Chapter 7

arcsine

7.1 English

7.1.1 Etymology

arc- + sine

7.1.2 Noun

arcsine (plural arcsines)

1. (trigonometry) Any of several single-valued or multivalued functions that are inverses of the sine function.Symbol: arcsin, sin*−1

Synonyms

• inverse sine

Translations

inverse of sine

7.1.3 See also

• Arcsine on Wikipedia.Wikipedia

7.1.4 Anagrams

• arsenic

• carnies

10

7.1. ENGLISH 11

Arcsine function

Chapter 8

arcsinh

8.1 English

8.1.1 Etymology

arc- + sinh

8.1.2 Noun

arcsinh (plural arcsinhs)

1. (trigonometry) The inverse hyperbolic sine function

8.1.3 See also

• arccosh

• arctanh

12

Chapter 9

arctangent

9.1 English

Wikipedia

Arctangent function

9.1.1 Etymology

arc- + tangent

9.1.2 Noun

arctangent (plural arctangents)

1. (trigonometry) Any of several single-valued or multivalued functions that are inverses of the tangent function.Symbol: arctan, tan*−1

Synonyms

• inverse tangent

13

14 CHAPTER 9. ARCTANGENT

Translations

inverse of tangent function

Chapter 10

arctangential

10.1 English

10.1.1 Adjective

arctangential (not comparable)

1. (trigonometry) Relating to the arctangent.

15

Chapter 11

arctanh

11.1 English

11.1.1 Etymology

arc- + tanh

11.1.2 Noun

arctanh (plural arctanhs)

1. (trigonometry) The inverse hyberbolic tangent function

11.1.3 See also

• arccosh

• arcsinh

• tanh

16

Chapter 12

circular function

12.1 English

12.1.1 Noun

circular function (plural circular functions)

1. (trigonometry) Synonym of trigonometric function.

17

Chapter 13

cohaversine

13.1 English

13.1.1 Noun

Wikipediacohaversine (plural cohaversines)

1. (trigonometry) the hacoversed sine

13.1.2 Anagrams

• hacoversine

• havercosine

18

Chapter 14

cosecant

14.1 English

Wikipedia

14.1.1 Noun

cosecant (plural cosecants)

1. (trigonometry) In a right triangle, the reciprocal of the sine of an angle. Symbols: cosec, csc

Translations

reciprocal of the sine function

19

Chapter 15

cosh

15.1 Translingual

15.1.1 Symbol

cosh

1. (trigonometry) The symbol of the hyperbolic function hyperbolic cosine.

See also

• sinh

• tanh

• cos

15.2 English

15.2.1 Etymology 1

Probably from Romani košter (stick)

Pronunciation

• IPA*(key): /kɒʃ/

• Rhymes: -ɒʃ

Noun

cosh (plural coshes)

1. A weapon made of leather-covered metal similar to a blackjack.

2. A blunt instrument such as a bludgeon or truncheon.

Derived terms

• under the cosh

20

15.2. ENGLISH 21

See also

• bludgeon

Verb

cosh (third-person singular simple present coshes, present participle coshing, simple past and past participle coshed)

1. (transitive) To strike with a weapon of this kind.

15.2.2 Etymology 2

Pronunciation

• IPA*(key): /kɒʃ/, /kɒˈseɪtʃ/

Symbol

cosh

1. (trigonometry) The symbol of the hyperbolic function hyperbolic cosine.

Translations hyperbolic cosine

15.2.3 Anagrams

• Sohc, SOHC

Chapter 16

cosine

16.1 English

Wikipedia

Cosine function

16.1.1 Etymology

co- + sine

16.1.2 Pronunciation

• (UK) IPA*(key): /ˈkəʊ.saɪn/

• (US) IPA*(key): /ˈkoʊ.saɪn/

•

• Homophone: cosign

16.1.3 Noun

cosine (plural cosines)

1. (trigonometry) In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length ofthe hypotenuse. Symbol: cos

22

16.2. ITALIAN 23

Usage notes

In various branches of mathematics, the cosine of an angle is determined in various ways, including the following:

• The x-coordinate of the point on the unit circle at the given anticlockwise angle from the x-axis.• The sum of the real or complex power series∑∞

n=0(−1)nx2n

(2n)! = 1− x2

2 + x4

24 − x6

720 + x8

40320 − · · ·where x is in radians.

Related terms

• arccosine• sine

Translations

trigonometric function

16.1.4 See also• power series• secant• tangent• trigonometry

16.1.5 Anagrams• conies• oscine

16.2 Italian

16.2.1 Noun

cosine f

1. plural of cosina

16.2.2 Anagrams• cenosi, coseni, osceni

16.3 Old French

16.3.1 Noun

cosine f (oblique plural cosines, nominative singular cosine, nominative plural cosines)

1. (female) cousin

24 CHAPTER 16. COSINE

Declension

• see cosin

Descendants

• French: cousine

Chapter 17

cosine formula

17.1 English

17.1.1 Noun

cosine formula (uncountable)

1. (trigonometry) law of cosines

25

Chapter 18

cosine law

18.1 English

18.1.1 Noun

cosine law (uncountable)

1. (trigonometry) law of cosines

26

Chapter 19

cosine rule

19.1 English

19.1.1 Noun

cosine rule (uncountable)

1. (trigonometry) law of cosines

27

Chapter 20

cotangent

20.1 English

Wikipedia

Cotangent function

20.1.1 Noun

cotangent (plural cotangents)

1. (trigonometry) In a right triangle, the reciprocal of the tangent of an angle. Symbols: cot, ctg, or ctn

Translations

trigonometric function

20.2 Swedish

28

20.2. SWEDISH 29

20.2.1 Noun

cotangent c

1. (trigonometry) cotangent

Declension

Declension of cotangent

Chapter 21

coversed sine

21.1 English

A plot of the versed sine (versin) and coversed sine (coversin) between −3π and 3π

21.1.1 Etymology

From contraction of complement + versed sine.

21.1.2 Noun

coversed sine (plural coversed sines)

1. (trigonometry) The trigonometric function 1 − sin(x).

• 1825, Jas Thomson, Elements of Plane and Spherical Trigonometry, page 2,

30

21.1. ENGLISH 31

The cosine of an arc is the sine of its complement.† In like manner, the coversed sine, cotangent,and cosecant of an arc, are respectively the versed sine, tangent, and secant of its complement.

• 1830, W. Hopkins, Book II: Elements of Trigonometry, of Geometry, Plane, Solid, and Spherical, page46,

At the top of the page on the left-hand side is placed the number of degrees, and in the left-handcolumn each minute of the degree, opposite to which are arranged the numerical values of thesine, coversed sine, &c, of the corresponding angle in those columns, at the top of which thoseterms are placed.

• 1838, William Grier, The Mechanic′s Pocket Dictionary, page 21,For the coversed sine; subtract the sine of the angle from 1. Thus, for the same angle we havethe coversed sine,

1 ̶·36650 = ·6335.• 1871, Homersham Cox, The Law and Science of Ancient Lights, 2nd Edition, page 109,

Hence the cosines and versed sines of zenith distances are respectively equal to the sines andcoversed sines of the corresponding angular elevations.

Synonyms

• (1 − sin): coversine, coversin

Related terms

• versed sine

Derived terms

• hacoversed sine

Translations

function

21.1.3 See also

• versine on Wikipedia.Wikipedia:versine

21.1.4 Anagrams

• videoscreens

Chapter 22

coversin

22.1 English

22.1.1 Abbreviation *[please replace this header]

coversin

1. (trigonometry) coversed sine

32

Chapter 23

coversine

23.1 English

23.1.1 Noun

Wikipediacoversine (plural coversines)

1. (trigonometry) The coversed sine.

Related terms

• haversine

• versine

Translations

coversed sine ̶see coversed sine

33

Chapter 24

excosecant

24.1 English

24.1.1 Noun

Wikipediaexcosecant (plural excosecants)

1. (trigonometry) The trigonometric function csc(x) − 1. Abbreviation: excsc

Related terms

• exsecant

• secant

Translations

csc(x) − 1

34

Chapter 25

excsc

25.1 English

25.1.1 Abbreviation

excsc

1. (trigonometry) excosecant

Related terms

• exsec

35

Chapter 26

exsec

26.1 English

26.1.1 Abbreviation

exsec

1. (trigonometry) exsecant

Related terms

• excsc

26.1.2 Anagrams

• execs

36

Chapter 27

exsecant

27.1 English

27.1.1 Noun

Wikipediaexsecant (plural exsecants)

1. (trigonometry) The trigonometric function sec(x) − 1. Abbreviation: exsec

Related terms

• excosecant

• secant

Translations

sec(x) - 1

27.2 Latin

27.2.1 Verb

exsecant

1. third-person plural present active indicative of exsecō

37

Chapter 28

gon

See also: gọn

28.1 Translingual

28.1.1 Symbol

gon

1. the ISO symbol for gradian

28.2 English

28.2.1 Etymology 1

Compare Middle English gon, dialectal gan, Dutch gaan.

Contraction

gon

1. (US, dialectal) Alternative form of gonna

Iʼm gon be there around four.

28.2.2 Etymology 2

Noun

gon (plural gons)

1. (geometry, trigonometry) One hundredth of a right angle; a gradian.

Translations gradian

38

28.3. JAPANESE 39

28.2.3 Etymology 3

Clipping.

Noun

gon (plural gons)

1. (rail transport) Abbreviation of gondola car.

28.2.4 Anagrams

• NGO

• nog

28.3 Japanese

28.3.1 Romanization

gon

1. rōmaji reading of

28.4 Middle English

28.4.1 Alternative forms

• goo

28.4.2 Etymology

From Old English gān, from Proto-Germanic *gāną, compare German gehen.

28.4.3 Verb

gon

1. to go

Conjugation

Conjugation of gon

Descendants

• English: to go

• Scots: gan

40 CHAPTER 28. GON

28.5 Scottish Gaelic

28.5.1 Etymology

28.5.2 Verb

gon (past ghon, future gonaidh, verbal noun gonadh, past participle gonte)

1. hurt, prick, wound

28.6 Sranan Tongo

28.6.1 Etymology

Borrowing from English gun.

28.6.2 Noun

gon

1. gun

Chapter 29

grad

See also: grád, gråd, and Grad

29.1 English

29.1.1 Pronunciation

• IPA*(key): /ɡɹæd/

• Rhymes: -æd

29.1.2 Noun

grad (plural grads)

1. Short form of graduate.

2. Short form of graduation.

29.1.3 Abbreviation

grad

1. (geometry, trigonometry) Abbreviation of gradian.

29.1.4 See also

• deg

• rad

29.1.5 Anagrams

• drag

41

42 CHAPTER 29. GRAD

29.2 Alemannic German

29.2.1 Pronunciation

• IPA*(key): /ɡrɑd/

29.2.2 Adverb

grad

1. now, at the moment

• 1978, Rolf Lyssy & Christa Maerker, Die Schweizermacher, (transcript):Mir si grad am Esse, aber Si gönd gern mitesse, wen Si wend.

We're eating at the moment, but you can gladly join us for dinner if you like.

2. exactly

29.3 German

29.3.1 Etymology

Contraction of gerade.

29.3.2 Pronunciation

• IPA*(key): /ɡʁaːt/

29.3.3 Adverb

grad

1. (colloquial) Alternative form of gerade

29.3.4 External links

• grad in Duden online

29.4 Luxembourgish

29.4.1 Adverb

grad

1. just, just now

Mäi Brudder ass grad heemkomm

My brother has just come home

29.5. NORWEGIAN BOKMÅL 43

29.5 Norwegian Bokmål

29.5.1 Etymology

From Latin gradus

29.5.2 Noun

grad m (definite singular graden, indefinite plural grader, definite plural gradene)

1. degree (general)

2. an academic degree

3. degree (of angle)

4. degree (of latitude or longitude)

5. degree (of temperature)

6. rank (e.g. military)

Derived terms

29.5.3 References

• “grad” in The Bokmål Dictionary.

29.6 Polish

29.6.1 Etymology

From Proto-Slavic *gradъ, from Proto-Indo-European *greh₃d-.

29.6.2 Pronunciation

• IPA*(key): [grat]

•

• Homophone: grat

29.6.3 Noun

grad m inan

1. hail

Declension

declension of grad

44 CHAPTER 29. GRAD

Derived terms

• gradowy

• gradobicie

29.7 Romanian

29.7.1 Etymology

Borrowed from French grade, ultimately from Latin gradus.

29.7.2 Noun

grad n (plural grade)

1. degree (unit of measurement for temperature)

29.8 Scottish Gaelic

29.8.1 Adjective

grad

1. sudden, immediate, instant

2. quick, rapid, swift, alert, agile

Derived terms

• gu grad

29.9 Serbo-Croatian

29.9.1 Etymology 1

From Proto-Slavic *gordъ (“settlement, enclosed place”), from Proto-Balto-Slavic *gordos, from Proto-Indo-European *gʰordʰos, *ǵʰortós.

Pronunciation

• IPA*(key): /ɡrâːd/

Noun

grȃd m (Cyrillic spelling гра̑д)

1. city, town

2. fortress, castle

29.10. SLOVENE 45

Declension declension of grad

29.9.2 Etymology 2

From Proto-Slavic *gradъ, from Proto-Indo-European *greh₃d-.

Pronunciation

• IPA*(key): /ɡrâd/

Noun

grȁd m (Cyrillic spelling гра̏д)

1. hail

Declension declension of grad

29.9.3 Etymology 3

Borrowed from Latin gradus.

Pronunciation

• IPA*(key): /ɡrâːd/

Noun

grȃd m (Cyrillic spelling гра̑д)

1. (mathematics) gradian

2. degree (measuring unit in various systems; the more usual and general term is stȅpēn or stȗpanj)

Declension declension of grad

29.10 Slovene

29.10.1 Etymology

From Proto-Slavic *gordъ.

29.10.2 Pronunciation

• IPA*(key): /ˈɡráːt/

• Tonal orthography: grȃd

46 CHAPTER 29. GRAD

29.10.3 Noun

grád m inan (genitive gradú or gráda, nominative plural gradôvi or grádi)

1. castle

2. (archaic) city

Declension

Declension of grád (masculine inan., hard o-stem, mobile accent, plural in -ôv-)Declension of grád (masculine inan., hard o-stem)

29.11 Swedish

29.11.1 Pronunciation

•

29.11.2 Noun

grad c

1. a degree (on a thermometer or other scale)

2. a degree (from a university), a title

3. a rank

Declension

Declension of grad

Related terms

Chapter 30

gradian

30.1 English

30.1.1 Etymology

30.1.2 Noun

gradian (plural gradians)

1. (geometry, trigonometry) A unit of angle equal to 0.9 degrees, so that there are 100 gradians in a right angle.

Synonyms

• gon

• grad

• grade

Translations

unit of angle

See also

• degree

• radian

47

Chapter 31

hacoversed sine

31.1 English

Wikipedia

31.1.1 Noun

hacoversed sine (plural hacoversed sines)

1. (trigonometry) The trigonometric function equal to half the coversed sine. Abbreviation: hacoversin

Synonyms

• cohaversine

• hacoversine

• havercosine

48

Chapter 32

hacoversin

32.1 English

32.1.1 Abbreviation *[please replace this header]

hacoversin

1. (trigonometry) hacoversed sine

49

Chapter 33

hacoversine

33.1 English

33.1.1 Noun

Wikipediahacoversine (plural hacoversines)

1. (trigonometry) the hacoversed sine

33.1.2 Anagrams

• cohaversine

• havercosine

50

Chapter 34

havercosine

34.1 English

34.1.1 Noun

Wikipediahavercosine (plural havercosines)

1. (trigonometry) the hacoversed sine

34.1.2 Anagrams

• cohaversine

• hacoversine

51

Chapter 35

haversed sine

35.1 English

Wikipedia

35.1.1 Noun

haversed sine (plural haversed sines)

1. (trigonometry) The trigonometric function defined as half the versed sine. Abbreviation: haversin

Synonyms

• haversine

52

Chapter 36

haversin

36.1 English

36.1.1 Abbreviation *[please replace this header]

haversin

1. (trigonometry) haversine, haversed sine

36.1.2 Anagrams

• enravish

53

Chapter 37

haversine

37.1 English

37.1.1 Noun

Wikipediahaversine (plural haversines)

1. (trigonometry) The haversed sine.

Derived terms

• coversine

• versine

54

Chapter 38

law of cosines

38.1 English

Wikipedia

38.1.1 Noun

law of cosines (uncountable)

1. (trigonometry) A statement that relates the lengths of the sides of a triangle to the cosine of one of its angles.

Synonyms

• cosine formula

• cosine law

• cosine rule

Translations

statement

See also

• law of sines

55

Chapter 39

law of sines

39.1 English

Wikipedia

39.1.1 Noun

law of sines (uncountable)

1. (trigonometry) A statement that relates the lengths of the sides of a triangle to the sines of its angles.

Synonyms

• sine formula

• sine law

• sine rule

Translations

statement

See also

• law of cosines

56

Chapter 40

polygonometry

40.1 English

40.1.1 Etymology

polygon + -metry

40.1.2 Noun

polygonometry (plural polygonometries)

1. The doctrine of polygons; an extension of some of the principles of trigonometry to the case of polygons.

57

Chapter 41

Pythagorean trigonometric identity

41.1 English

Wikipedia

41.1.1 Noun

Pythagorean trigonometric identity (uncountable)

1. (trigonometry) The equality sin(x)2 + cos(x)2 = 1 , holding for all real and complex x, equivalent to theapplication of the Pythagorean theorem to the unit circle.

Translations

statement that sum of squares of sine and cosine equals one

58

Chapter 42

secant

42.1 English

42.1.1 Etymology

From Latin secans, present participle of secare (“to cut”)

42.1.2 Noun

secant (plural secants)

1. (geometry) A straight line that intersects a curve at two or more points.

2. (trigonometry) In a right triangle, the reciprocal of the cosine of an angle. Symbol: sec

Related terms

• cosecant

• section

• sector

Translations

in geometryin trigonometry

External links

• secant in Websterʼs Revised Unabridged Dictionary, G. & C. Merriam, 1913

• secant in The Century Dictionary, The Century Co., New York, 1911

42.1.3 Anagrams

• ascent

• enacts

• stance

59

60 CHAPTER 42. SECANT

42.2 Latin

42.2.1 Verb

secant

1. third-person plural present active indicative of secō

Chapter 43

sine

See also: Sine, Síne, Sìne, and sìne

43.1 English

Wikipedia

Sine function

43.1.1 Etymology

From Latin sinus, translation of Arabic َجيْب (jayb). The Arabic word was originally a transliteration of a Sanskritword meaning a chord.

43.1.2 Pronunciation

• enPR: sīn, IPA*(key): /saɪn/

• Homophone: sign

• Rhymes: -aɪn

43.1.3 Noun

sine (plural sines)

1. (trigonometry, mathematics) In a right triangle, the ratio of the length of the side opposite an angle to the lengthof the hypotenuse.

61

62 CHAPTER 43. SINE

Usage notes

In various branches of mathematics, the sine of an angle is determined in various ways, including the following:

• The y-coordinate of the point on the unit circle at the given anticlockwise angle from the x-axis.

• The sum of the real or complex power series∑∞n=1

(−1)n−1

(2n−1)! x2n−1 = x− 1

6x3 + 1

120x5 − 1

5040x7 + ...

where x is in radians.

Synonyms

• Symbol: sin

Derived terms

• arcsine

• cosine

• sine wave

• sinusoid

• sinusoidal

Translations

trigonometric function

43.1.4 See also

• cosecant

• cotangent

• secant

• tangent

• trigonometry

43.1.5 Anagrams

• sien

43.2 Danish

43.2.1 Pronunciation

• IPA*(key): /siːnə/, [ˈsiːnə], [ˌsiːnə]

43.3. IRISH 63

43.2.2 Pronoun

sine

1. plural of sin

See also

Danish personal pronouns

43.3 Irish

43.3.1 Pronunciation• IPA*(key): /ˈʃinʲə/

43.3.2 Etymology 1

From Old Irish sine, siniu, comparative form of sen (“old”).

Adjective

sine

1. comparative degree of sean: older

43.3.3 Etymology 2

From Old Irish sine (“teat, dug, pap”), from Proto-Celtic *sɸenyo-, from Proto-Indo-European *pstḗn. Cognatewith Old Norse speni (“teat”), English spean (“teat (of a cow)”).

Noun

sine f (genitive singular sine, nominative plural siní)

1. nipple

Declension Declension of sine

Fourth declension

43.3.4 Mutation

43.4 Latin

43.4.1 Pronunciation• (Classical) IPA*(key): /ˈsi.ne/, [ˈsɪ.nɛ]•

• (Ecclesiastical) IPA*(key): /ˈsi.ne/, [ˈsiː.ne]

64 CHAPTER 43. SINE

43.4.2 Etymology 1

• From Proto-Indo-European *sene-, *sane- (“apart, without”). Cognate with Old English sundor (“apart,separately, by oneself”). More at sunder.

• Or from Proto-Indo-European *só (“this, that”) + ne, as nesi was also sometimes written.

Preposition

sine

1. (with ablative) without

Sum sine regno.

I am without a kingdom.

Derived terms

Derived terms

Descendants

43.4.3 References

•“sine”in Charlton T. Lewis & Charles Short, A Latin Dictionary, Oxford: Clarendon Press, 1879.

43.4.4 Etymology 2

Verb

sine

1. second-person singular present active imperative of sinō

43.5 Neapolitan

43.5.1 Pronunciation

• IPA*(key): /ˈsinɛ/, /ˈsinɐ/

43.5.2 Particle

sine

1. yes

43.6 Norwegian Bokmål

43.6.1 Etymology

From Old Norse sínir.

43.7. NORWEGIAN NYNORSK 65

43.6.2 Pronunciation

• IPA*(key): /siːne/

43.6.3 Determiner

sine pl

1. plural of sin

43.6.4 References

• “sin” in The Bokmål Dictionary / The Nynorsk Dictionary.

43.7 Norwegian Nynorsk

43.7.1 Etymology

From Old Norse sínir.

43.7.2 Pronunciation

• IPA*(key): /siːnә/ (example of pronunciation)

43.7.3 Determiner

sine pl

1. plural of sin

43.7.4 References

• “sin” in The Nynorsk Dictionary.

43.8 Old French

43.8.1 Noun

sine m (oblique plural sines, nominative singular sines, nominative plural sine)

1. Alternative form of cisne

43.8.2 Noun

sine m (oblique plural sines, nominative singular sines, nominative plural sine)

1. Alternative form of signe

66 CHAPTER 43. SINE

43.9 Romanian

43.9.1 Etymology

From Latin sē, as with mine, tine.

43.9.2 Pronunciation

43.9.3 Pronoun

sine (stressed reflexive-accusative form of el, ea, ei and ele)

1. himself, herself, itself, themselves

Synonyms

• se (unstressed form)

43.10 Scottish Gaelic

43.10.1 Pronunciation• IPA*(key): /ˈʃinə/

43.10.2 Etymology 1

From Old Irish sine (“teat, dug, pap”), from Proto-Celtic *sɸenyo-, from Proto-Indo-European *pstḗn. Cognatewith Old Norse speni (“teat”), English spean (“teat (of a cow)”).

Noun

sine f (genitive singular sine, plural sinean)

1. (anatomy) nipple, teat

43.10.3 Etymology 2

Borrowing from English gin.

Noun

sine f

1. gin (drink)

43.10.4 Etymology 3

Adjective

sine

1. comparative degree of sean

Chapter 44

sine formula

44.1 English

44.1.1 Noun

sine formula (uncountable)

1. (trigonometry) law of sines

67

Chapter 45

sine law

45.1 English

45.1.1 Noun

sine law (uncountable)

1. (trigonometry) law of sines

68

Chapter 46

sine ratio

46.1 English

46.1.1 Noun

sine ratio (plural sine ratios)

1. (trigonometry) The ratio of the side of a right-angled triangle opposite to a specified angle to the hypotenuse;when expressed as a real number between 0 and 1 it defines the sine of the angle

46.1.2 Anagrams

• seriation

69

Chapter 47

sine rule

47.1 English

47.1.1 Noun

sine rule (uncountable)

1. (trigonometry) law of sines

70

Chapter 48

sine wave

48.1 English

Wikipedia

Sine

Square

Triangle

Sawtooth

Sine, square, triangle, and sawtooth waveforms

48.1.1 Noun

sine wave (plural sine waves)

71

72 CHAPTER 48. SINE WAVE

1. (trigonometry, signal processing) A waveform described by the sine function, possibly shifted by some phase.

Translations

waveform

Chapter 49

SOHCAHTOA

49.1 English

A

B

C

ca

b

Adjacent

Opposite

Hypoten

use

functions of an angle having A as its vertex

49.1.1 Pronunciation

• (US) IPA*(key): /ˌsoʊ.kɑˈtoʊ.ʌ/, /ˌsoʊ.kʌˈtoʊ.ʌ/

49.1.2 Acronym

SOHCAHTOA

73

74 CHAPTER 49. SOHCAHTOA

1. (trigonometry) sine: opposite over hypotenuse, cosine: adjacent over hypotenuse, tangent: opposite over adja-cent

Translations

trigonometry mnemonic

Chapter 50

tangent

50.1 English

Wikipedia

A straight line tangent to a curve

50.1.1 Pronunciation

• IPA*(key): /ˈtæn.dʒənt/

50.1.2 Etymology

From Latin tangentem, the accusative of tangēns (“touching”) (in the phrase līnea tangēns (“a touching line”)),the present participle of the verb tangō (“touch”, verb), from Proto-Indo-European *tag-, *taǵ- (“to touch”).Cognate with Old English þaccian (“to touch lightly, pat, stroke”). More at thack, thwack.

75

76 CHAPTER 50. TANGENT

0 π/2 π 3π/2 2π −π/2−π−3π/2−2π

0

−2

−4

−6

−8

2

4

6

8

Tangent function of unit circle

50.1.3 Noun

tangent (plural tangents)

1. (geometry) A straight line touching a curve at a single point without crossing it there.

2. (trigonometry) In a right triangle, the ratio of the length of the side opposite the angle to the length of the sideadjacent to the angle. Symbols: tan, tg

3. A topic nearly unrelated to the main topic, but having a point in common with it.

I believe we went off onto a tangent when we started talking about monkeys on unicycles at hisretirement party.

• 1928, Lawrence R. Bourne, chapter 1, Well Tackled!*:“Uncle Barnaby was always father and mother to me,”Benson broke in; then after a pause his

mind flew off at a tangent. “Is old Hannah all right̶in the will, I mean?”• 2009: Stuart Heritage, Hecklerspray, Friday the 22*nd of May in 2009 at 1 o c̓lock p.m.,“Jon & Kate

Latest: People You Donʼt Know Do Crap You Donʼt Care About”Jon & Kate Plus 8 is a show based on two facts: (1) Jon and Kate Gosselin have eight children,and (2) the word̒ Kate r̓hymes with the word̒ eight .̓ One suspects that if Kate were ever tohave another child, a shady network executive would urge her to put it in a binbag with a brickand drop it down a well. But this is just a horrifying tangent.

4. A small metal blade by which a clavichord produces sound.

50.2. FRENCH 77

Derived terms

• arctangent

• cotangent

• hyberbolic tangent

Related terms

• tangential

Translations

in geometryin trigonometrynearly unrelated topic

The translations below need to be checked and inserted above into the appropriate translation tables,removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

Translations to be checked

50.1.4 Adjective

tangent (not comparable)

1. (geometry) Touching a curve at a single point but not crossing it at that point.

2. Of a topic, only loosely related to a main topic.

50.1.5 See also

• cosine

• non sequitur

• sine

• trigonometry

50.2 French

50.2.1 Adjective

tangent m (feminine singular tangente, masculine plural tangents, feminine plural tangentes)

1. (mathematics) tangential

2. borderline

50.2.2 External links

•“tangent”in le Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

78 CHAPTER 50. TANGENT

50.3 Latin

50.3.1 Verb

tangent

1. third-person plural future active indicative of tangō

50.4 Swedish

Wikipedia *sv

50.4.1 Noun

tangent c

1. a key (button on a typewriter, computer keyboard or piano)

2. (mathematics) a tangent

Declension

Declension of tangent

Related terms

• tangens

• tangentbord

Chapter 51

trigonometric function

51.1 English

Wikipedia

51.1.1 Noun

trigonometric function (plural trigonometric functions)

1. (trigonometry) Any function of an angle expressed as the ratio of two of the sides of a right triangle that hasthat angle, or various other functions that subtract 1 from this value or subtract this value from 1 (such as theversed sine)

Hypernyms

• function

Hyponyms

Hyponyms of trigonometric function

Related terms

Related terms

Translations

a function of an angle

79

Chapter 52

unit circle

52.1 English

52.1.1 Noun

Wikipediaunit circle (plural unit circles)

1. (geometry) A circle of radius 1.

2. (trigonometry, the unit circle) The circle of radius 1 with centre at the origin, used in defining trigonometricfunctions.

Usage notes

• Unit circle is seldom used in the simple geometric sense, where“a circle of radius 1”is much more common.

Translations

circle of radius 1circle of radius 1 with centre at the origin, used in trigonometry

80

Chapter 53

versed sine

53.1 English

Wikipedia

53.1.1 Etymology

From New Latin sinus versus (“flipped sine”); the sine function being sometimes called sinus rectus.

53.1.2 Noun

versed sine (plural versed sines)

1. (trigonometry) The trigonometric function 1 − cos(x).

• 1753, John Robertson, The Construction of the Logarithmic Lines on the Gunter′s Scale, Royal Society(Great Britain), Philosophical Transactions: 1750-1755, page 340,

For the divisions, to be laid on this line, are the differences between the logarithm versed sineof 180°, and the logarithm versed sines of the successive arcs.

• 1805, John William Norie, A New and Complete Epitome of Practical Navigation, page xxii,But if the given arch exceed 90°, find the natural co-sine of its supplement, which add to1000000, and the sum will be the natural versed sine required.

• 1806, John Garnett, Tables Requisite To Be Used with The Nautical Ephemeris, page 41,The Natural Sines in this table are fractions (radius being unit); and are particularly adapted toDunthorne′s and other methods of clearing the moon′s distance from the effects of parallax andrefraction, where natural sines or versed sines are used ; […] .

Usage notes

Once considered an important trigonometric function; now much less so, since the advent of calculators and comput-ers.

Synonyms

• (1 − cos): vers, versin, versine

81

82 CHAPTER 53. VERSED SINE

A geometrical illustration of the versed sine (labelled“versin”)

Derived terms

• coversed sine

• hacoversed sine

• haversed sine

Translations

function 1 − cos

53.1.3 Anagrams

• Severnside

Chapter 54

versin

54.1 English

54.1.1 Abbreviation *[please replace this header]

versin

1. (trigonometry) Same as vers

83

Chapter 55

versine

55.1 English

55.1.1 Noun

Wikipediaversine (plural versines)

1. (trigonometry) The versed sine.

Derived terms

• coversine

• haversine

55.1.2 Anagrams

• inverse

84

55.2. TEXT AND IMAGE SOURCES, CONTRIBUTORS, AND LICENSES 85

55.2 Text and image sources, contributors, and licenses

55.2.1 Text• arccosecant Source: https://en.wiktionary.org/wiki/arccosecant?oldid=26812368 Contributors: DCDuring, MewBot and Anonymous: 1• arccosine Source: https://en.wiktionary.org/wiki/arccosine?oldid=33617182 Contributors: Paul G, Dmh, Tohru, KlaudiuMihaila, Calav-

era, Hekaheka, Dan Polansky, Atitarev, AutoFormat, DCDuring, Tbot, Rukhabot, Interwicket, TAKASUGI Shinji, KassadBot, MewBot,Ungoliant MMDCCLXIV, DTLHS, Buttermilch, WingerBot and Anonymous: 3

• arccotangent Source: https://en.wiktionary.org/wiki/arccotangent?oldid=35007455Contributors: KlaudiuMihaila, Dan Polansky, Atitarev,DCDuring, Tbot, Rukhabot, MewBot, WingerBot and Anonymous: 1

• arcsch Source: https://en.wiktionary.org/wiki/arcsch?oldid=33998317 Contributors: Jyril, Newnoise, Jokes Free4Me, AutoFormat, DC-During, MglovesfunBot, MewBot, Ungoliant MMDCCLXIV, Yurivict and Anonymous: 2

• arcsecant Source: https://en.wiktionary.org/wiki/arcsecant?oldid=26812391 Contributors: Jyril, AutoFormat, Conrad.Bot, Mglovesfun-Bot, MewBot and Anonymous: 1

• arcsech Source: https://en.wiktionary.org/wiki/arcsech?oldid=33998315Contributors: Newnoise, Jokes Free4Me, DCDuring, Conrad.Bot,MglovesfunBot, MewBot, Ungoliant MMDCCLXIV, Yurivict and Anonymous: 1

• arcsine Source: https://en.wiktionary.org/wiki/arcsine?oldid=34584407 Contributors: Paul G, Dmh, Gene Nygaard, Tohru, Klaudiu-Mihaila, Calavera, Dan Polansky, Atitarev, AutoFormat, Nadando, DCDuring, Tbot, Rukhabot, Interwicket, Conrad.Bot, TAKASUGIShinji, MglovesfunBot, MewBot, Buttermilch, WingerBot and Anonymous: 3

• arcsinh Source: https://en.wiktionary.org/wiki/arcsinh?oldid=33998348 Contributors: Newnoise, Jokes Free4Me, DCDuring, Mgloves-funBot, MewBot, Ungoliant MMDCCLXIV and Yurivict

• arctangent Source: https://en.wiktionary.org/wiki/arctangent?oldid=33617209 Contributors: Paul G, Tohru, KlaudiuMihaila, Dan Polan-sky, Atitarev, AutoFormat, DCDuring, Tbot, Rukhabot, Interwicket, TAKASUGI Shinji, Ultimateria, KassadBot, MewBot, DTLHS,Buttermilch, WingerBot and Anonymous: 2

• arctangential Source: https://en.wiktionary.org/wiki/arctangential?oldid=33998350Contributors: Equinox and Ungoliant MMDCCLXIV• arctanh Source: https://en.wiktionary.org/wiki/arctanh?oldid=33998353 Contributors: RobotGMwikt, Newnoise, Jokes Free4Me, DC-

During, MglovesfunBot, MewBot, Ungoliant MMDCCLXIV, Yurivict and A230rjfowe• circular function Source: https://en.wiktionary.org/wiki/circular_function?oldid=33666661Contributors: SemperBlotto, RobotGMwikt,

UllmannBot, Interwicket, Sae1962, Embryomystic and MewBot• cohaversine Source: https://en.wiktionary.org/wiki/cohaversine?oldid=34669109Contributors: Paul G, RobotGMwikt, Connel MacKen-

zieBot, Conrad.Bot, MglovesfunBot and MewBot• cosecant Source: https://en.wiktionary.org/wiki/cosecant?oldid=33621537 Contributors: Paul G, Jyril, Stephen G. Brown, SemperBlotto,

RobotGMwikt, Gene Nygaard, Tohru, Lmaltier, KlaudiuMihaila, Carl Daniels, Calavera, AutoFormat, Matthias Buchmeier, Nadando,DCDuring, Tbot, Rukhabot, Interwicket, KassadBot, MirekDve, MewBot, Adriaan, Kephir, Buttermilch, DerekWinters, Mar vin kaiser,Nibiko, WingerBot and Anonymous: 4

• cosh Source: https://en.wiktionary.org/wiki/cosh?oldid=34238696 Contributors: Hippietrail, Poccil, Jyril, Stephen G. Brown, Wonder-fool, SemperBlotto, RobotGMwikt, Doug Hockin, ScsRhymeBot, AutoFormat, Bequw, Rukhabot, Interwicket, Panda10, Kwamik-agami, Conrad.Bot, HannesP, Infovarius, Luckas-bot, Equinox, Wikitiki89, KassadBot, MglovesfunBot, MewBot, Chuck Entz, -sche,Romanophile, Rockpilot, DTLHS, WingerBot and Anonymous: 5

• cosine Source: https://en.wiktionary.org/wiki/cosine?oldid=34136090 Contributors: Polyglot, Paul G, Hiezi, Nikai, Dmh, Sinofreeman,Jyril, Stephen G. Brown, AugPi, SemperBlotto, RobotGMwikt, Fredmaranhao, Krun, Gene Nygaard, Saltmarsh, Tohru, EncycloPetey,KlaudiuMihaila, Williamsayers79, Calavera, UllmannBot, Smiddle, Dan Polansky, Mglovesfun, Atitarev, Bjankuloski06en~enwiktionary,AutoFormat, SemperBlottoBot, Matthias Buchmeier, VolkovBot, Tbot, Rukhabot, Interwicket, Razorflame, Conrad.Bot, ATMarsden,Luckas-bot, Vahagn Petrosyan, Event, Embryomystic, KassadBot, MglovesfunBot, Kpc21, Daneel Olivaw, MewBot, Zuiarra, Dixtosa,Amir Hamzah 2008, DerekWinters, Mar vin kaiser, WingerBot and Anonymous: 7

• cosine formula Source: https://en.wiktionary.org/wiki/cosine_formula?oldid=21179422 Contributors: Hekaheka, Rukhabot and Mew-Bot

• cosine law Source: https://en.wiktionary.org/wiki/cosine_law?oldid=21179425 Contributors: Hekaheka, Rukhabot and MewBot• cosine rule Source: https://en.wiktionary.org/wiki/cosine_rule?oldid=21179428 Contributors: Hekaheka, Rukhabot and MewBot• cotangent Source: https://en.wiktionary.org/wiki/cotangent?oldid=34606279 Contributors: Paul G, Jyril, SemperBlotto, RobotGMwikt,

Fredmaranhao, Saltmarsh, Tohru, KlaudiuMihaila, Calavera, Hekaheka, Dan Polansky, Atitarev, Flyax, AutoFormat, Nadando, Natox,Sinek, Tbot, Rukhabot, Interwicket, Gauss, Luckas-bot, Event, Embryomystic, MglovesfunBot, Kpc21, MewBot, Adriaan, DerekWinters,Mar vin kaiser, WingerBot and Anonymous: 4

• coversed sine Source: https://en.wiktionary.org/wiki/coversed_sine?oldid=34669106 Contributors: Paul G, Hekaheka, Pingku, Nadando,DCDuring, Tbot, Rukhabot, Conrad.Bot and MewBot

• coversin Source: https://en.wiktionary.org/wiki/coversin?oldid=21181262 Contributors: Paul G, AutoFormat, KassadBot, Mglovesfun-Bot and MewBot

• coversine Source: https://en.wiktionary.org/wiki/coversine?oldid=34669102 Contributors: Paul G, RobotGMwikt, Connel MacKen-zieBot, Hekaheka and MewBot

• excosecant Source: https://en.wiktionary.org/wiki/excosecant?oldid=23465485 Contributors: Paul G, RobotGMwikt, Connel MacKen-zieBot, Hekaheka, AutoFormat, Bequw, Tbot, Rukhabot and MewBot

• excsc Source: https://en.wiktionary.org/wiki/excsc?oldid=32067403 Contributors: Paul G, MglovesfunBot and MewBot• exsec Source: https://en.wiktionary.org/wiki/exsec?oldid=32067399 Contributors: Paul G, Conrad.Bot, MglovesfunBot and MewBot

86 CHAPTER 55. VERSINE

• exsecant Source: https://en.wiktionary.org/wiki/exsecant?oldid=29622282 Contributors: Paul G, RobotGMwikt, Connel MacKenzieBot,TheDaveRoss, Hekaheka, SemperBlottoBot, Tbot, Rukhabot, Interwicket, KassadBot, MglovesfunBot and MewBot

• gon Source: https://en.wiktionary.org/wiki/gon?oldid=35401137 Contributors: Mzajac, SemperBlotto, RobotGMwikt, Angr, Jaaari, En-cycloPetey, Primetime~enwiktionary, Deilbh, CodeCat, Daniel Carrero, Mglovesfun, Mallerd, SemperBlottoBot, VolkovBot, DCDuring,Tbot, Rukhabot, Interwicket, Sae1962, Conrad.Bot, Embryomystic, KassadBot, MglovesfunBot, MewBot, Anglom, Lo Ximiendo, Stard-sen, Word dewd544, Chakrar16, YS-Bot, Shegashega and Anonymous: 5

• grad Source: https://en.wiktionary.org/wiki/grad?oldid=34973528Contributors: Dvortygirl, Paul G, Hippietrail, Jyril, Wonderfool, Robot-GMwikt, Krun, Dijan, Mairene, Widsith, Rory096, Drago, Biblbroks, LA2, ScsRhymeBot, Tweenk, CodeCat, AutoFormat, SemperBlot-toBot, VolkovBot, Ivan Štambuk, Tbot, Rukhabot, Interwicket, DerbethBot, Sae1962, Maro, Luckas-bot, MaEr, JAnDbot, OpiBot, Em-bryomystic, Thrissel, MglovesfunBot, BigDom, MewBot, Diego Grez Bot, Word dewd544, DTLHS, BrungeBär, Sajosannar, MetaBot,Donnanz, Kennybot, Urotnik, Yurivict and Anonymous: 8

• gradian Source: https://en.wiktionary.org/wiki/gradian?oldid=29082670Contributors: Paul G, Trunkie, Jyril, Mutante, Hekaheka, Rukhabot,Sae1962, Equinox, Embryomystic, MewBot, Flubot and Anonymous: 2

• hacoversed sine Source: https://en.wiktionary.org/wiki/hacoversed_sine?oldid=21258008 Contributors: Paul G, Connel MacKenzie, Ul-timateria and MewBot

• hacoversin Source: https://en.wiktionary.org/wiki/hacoversin?oldid=21258011 Contributors: Paul G, John1deer, KassadBot, Mgloves-funBot and MewBot

• hacoversine Source: https://en.wiktionary.org/wiki/hacoversine?oldid=34669110Contributors: Paul G, RobotGMwikt, Connel MacKen-zieBot, Conrad.Bot, MglovesfunBot and MewBot

• havercosine Source: https://en.wiktionary.org/wiki/havercosine?oldid=34669113Contributors: Paul G, RobotGMwikt, Connel MacKen-zieBot, Conrad.Bot, MglovesfunBot and MewBot

• haversed sine Source: https://en.wiktionary.org/wiki/haversed_sine?oldid=21262262 Contributors: Paul G, Ultimateria and MewBot• haversin Source: https://en.wiktionary.org/wiki/haversin?oldid=21262269 Contributors: Paul G, AutoFormat, Conrad.Bot, KassadBot,

MglovesfunBot and MewBot• haversine Source: https://en.wiktionary.org/wiki/haversine?oldid=34669104 Contributors: Paul G, RobotGMwikt, Connel MacKen-

zieBot and MewBot• law of cosines Source: https://en.wiktionary.org/wiki/law_of_cosines?oldid=35188421 Contributors: Hekaheka, Rukhabot, Luckas-bot

and MewBot• law of sines Source: https://en.wiktionary.org/wiki/law_of_sines?oldid=34713188 Contributors: Hekaheka, Rukhabot and MewBot• polygonometry Source: https://en.wiktionary.org/wiki/polygonometry?oldid=26911967 Contributors: Eclecticology, Connel MacKen-

zie, RobotGMwikt, Goldenrowley, Nadando, Equinox, MewBot, Flubot and Anonymous: 1• Pythagorean trigonometric identity Source: https://en.wiktionary.org/wiki/Pythagorean_trigonometric_identity?oldid=32101079Con-tributors: Curious, Rukhabot, KassadBot and Kephir

• secant Source: https://en.wiktionary.org/wiki/secant?oldid=35428401 Contributors: Paul G, Poccil, SemperBlotto, RobotGMwikt, Fred-maranhao, Tohru, KlaudiuMihaila, Calavera, Hekaheka, Dan Polansky, AutoFormat, SemperBlottoBot, Nadando, Tbot, Rukhabot, Inter-wicket, Conrad.Bot, Luckas-bot, Orthologist~enwiktionary, KassadBot, MglovesfunBot, MewBot, Adriaan, Yoursmile, YS-Bot, Kephir,DerekWinters, Mar vin kaiser, WingerBot and Anonymous: 4

• sine Source: https://en.wiktionary.org/wiki/sine?oldid=35316461 Contributors: Polyglot, Paul G, Hiezi, Nikai, Dmh, Sinofreeman, Rsvk,Stephen G. Brown, AugPi, SemperBlotto, RobotGMwikt, Angr, Fredmaranhao, Eric Kvaalen, Rodasmith, Jonathan Webley, Saltmarsh,Tohru, EncycloPetey, Pengo, Drago, KlaudiuMihaila, Atelaes, BiT, Ruakh, ScsRhymeBot, Rod-MigrateCatsBot, Djam, Baron de Saint-Rémy, 16@r, CodeCat, Hamaryns, UllmannBot, Doddebot, ÀrdRuadh21, Dan Polansky, Conrad.Irwin, Mglovesfun, Atitarev, Bjanku-loski06en~enwiktionary, AutoFormat, Makaokalani, VolkovBot, Tbot, Rukhabot, Interwicket, Razorflame, Njardarlogar, Conrad.Bot,HannesP, Leolaursen, Luckas-bot, Duncan MacCall, Vahagn Petrosyan, Carolina wren, Lexyv, JAnDbot, Caladon, Omnipaedista, Event,Thule~enwiktionary, Orthologist~enwiktionary, Embryomystic, Leasnam, KassadBot, Thrissel, MglovesfunBot, Florian Blaschke, Llonydd,Daneel Olivaw, Word dewd543, MewBot, Adriaan, ZxxZxxZ, LA2-bot, Zuiarra, GuitarDudeness, Tamsier, Word dewd544, GianWiki,Amir Hamzah 2008, DerekWinters, YaganZ, Mar vin kaiser, Justinrleung, Kennybot, Renard Migrant, WingerBot, TheoSawkins andAnonymous: 14

• sine formula Source: https://en.wiktionary.org/wiki/sine_formula?oldid=21192460 Contributors: Hekaheka, Rukhabot and MewBot• sine law Source: https://en.wiktionary.org/wiki/sine_law?oldid=21192461 Contributors: Hekaheka and MewBot• sine ratio Source: https://en.wiktionary.org/wiki/sine_ratio?oldid=21192465 Contributors: SemperBlotto, Conrad.Bot, MglovesfunBot

and MewBot• sine rule Source: https://en.wiktionary.org/wiki/sine_rule?oldid=21192467 Contributors: Hekaheka and MewBot• sine wave Source: https://en.wiktionary.org/wiki/sine_wave?oldid=34584409 Contributors: Paul G, Dmh, CodeCat, Nadando, Tbot,

Rukhabot, Interwicket, Luckas-bot, Vadtusan, MewBot, Lentom, Nibiko and Anonymous: 1• SOHCAHTOA Source: https://en.wiktionary.org/wiki/SOHCAHTOA?oldid=34763352 Contributors: CodeCat, Rukhabot, KassadBot,

MglovesfunBot, MewBot, Metaknowledge and Kephir• tangent Source: https://en.wiktionary.org/wiki/tangent?oldid=35422809 Contributors: Polyglot, Timwi, Dvortygirl, Paul G, Hippietrail,

Hiezi, GerardM, Nikai, Dmh, Sinofreeman, Jyril, Hyark, Stephen G. Brown, Connel MacKenzie, SemperBlotto, RobotGMwikt, Fred-maranhao, Krun, Gene Nygaard, Chaduvari, Saltmarsh, Tohru, Ortografix, Wanjuscha, KlaudiuMihaila, Doremítzwr, BiT, LA2, Calav-era, Smiddle, Dan Polansky, Atitarev, StradivariusTV~enwiktionary, AutoFormat, Bequw, SemperBlottoBot, Nadando, Sinek, Tbot,Rukhabot, Interwicket, Luckas-bot, Vahagn Petrosyan, BuchmeierBot, LilHelpa, Event, OpiBot, Embryomystic, Leasnam, Kassad-Bot, MglovesfunBot, MewBot, Adriaan, QuasiBot, LA2-bot, YS-Bot, Le Fondu, Buttermilch, DerekWinters, ReidAA, Mar vin kaiser,Tooth557, Kennybot, WingerBot and Anonymous: 15

55.2. TEXT AND IMAGE SOURCES, CONTRIBUTORS, AND LICENSES 87

• trigonometric function Source: https://en.wiktionary.org/wiki/trigonometric_function?oldid=35428663 Contributors: Paul G, Sem-perBlotto, Fredmaranhao, Krun, Saltmarsh, Tohru, Carl Daniels, Hekaheka, Dan Polansky, Conrad.Irwin, Atitarev, Bjankuloski06en~enwiktionary,AutoFormat, Tbot, Rukhabot, Interwicket, Sae1962, Gauss, DolphinL, MewBot, YS-Bot, DTLHS, Mar vin kaiser, WingerBot and Anony-mous: 1

• unit circle Source: https://en.wiktionary.org/wiki/unit_circle?oldid=24833872 Contributors: Paul G, Jyril, RobotGMwikt, AutoFormat,Natox, Tbot, Rukhabot, Interwicket, Csörföly D, KassadBot, MewBot and Buttermilch

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