Trig Prove each identity;

1 . 1

. secx - tanx SInX - - ­secx

3. sec8sin8

tan8+ cot8 sin' 8

5 ' ., 12" . cos Y - sin y = - Sin Y

7. sec2 e --

sec2 e-1 csc2 e

Identities worksheet 3.4 name:

2. 1 + cos x = esc x + cot x sinx

4. sec8 tan8 1 -----= cos8 cot8

6. csc2 e tan2 e -1 = tan2 e

8. tan2 x sin' x = tan' x - sin' x

Tria Prove each identity:

1.

3.

5.

7.

. 1 secx-tonxslnx= -­

sec X

seellsinll

tane + cote sin'lI

, ., 12·' cos y - Sin Y = - Sin Y

sec'O -- esc' 0

sec' 11 - 1

Identities worksheet 3.4 name:

2.

4.

1·,· eosx sinx

esex + cot x

seeO tanll_1 --- --

cosO cotO

6. ese'Otan' II -1 = tan' II

8. tan' x sin' x = tan' x - sin' x

Tris, Identities Prove each identity:

1.

3.

t . 1 secx- anxsrnx=--

sec x _ ,_ $1,,1)(.5".1'\'"

«70 f\( (.<I):' ')(

1-I - 'i!> 1<:\ 'Y

I . lbS- '~

2 Co.S?( _ - -0l:S ~ J-.

.... sec8sin8 . 2

srn 8 tan8+ cot8

::

-..

if

....l- 5, .... 19

(6;>15 ~c.9

~e- .... «rte ..f.,.." C9 of- '-<0 t. e

~9- _+--(;7 -f.-..-fSl

5:5 Co. C

worksheet 3.4 rumle:

2. 1 + cas x = esc x + cot x sinx

.... ~"~I\£ ~ ~ I -SiI\I\<" " • ..,'>It J Y.I

eSC f)(' +- cot- ¥ ': v'

4. /~c~~ tan8 = 1 \cg_~8 cot8

. "-Sivt ()

Cos t"'@ CoS '-e-- -

'f • '" $I" c..d'S: _ r ::0 ~ I '" t.-

I~C;:;. " ~«9 -:0

L.qs~

~~ / c..~ '(9 V

• ~ <;.A..,) J ,~ t;1 ..... · lb~

-.-~ -'-~ ( c- c;"

s 1..-t c. "l... 0/5'

5 2 . 2 . 2 . . cos X:SIn Y_=1~2sm ~ 6. , C~~- 1=tan2.8 ~

7.

/_ ""'", ~ .... $11'\ ~ - ) 6~oe·~1.~) ,-t 1= 1

. I =-J.-Sr"" l.'t" -= .,/'V -\-p- L.(9-- of-~ - I. ~/ . .

sec2e sec2 e _ 1 = csc

2 8

sec. 't.(9

~"e ,..

I . ~ :-.;;r: .. . ~.,... [p; - ~ . -;:;''f)

eSc, ~ e- '"

.,.

\V ./

. ~ 16). -+- f - \ = ( ~

~Z-8 __ V

8. tan2 x sin2 x = tan2 x - sin2 x (gfc. 7..~ _ \ 'is l ,,"-)( ') -::r

'2-~ '). r- 1. Ai -5(:.' (.,.. • $'" I)< -,.... " -

J.- . CI 01\ ~-y _ S'M "I. ')(

tos.~ ftC

~ 'l-,y -911 '2 'X -;.

Tri;z Identities worksheet 3.4

9. _ (sine 'I. ~s~r+J:'ln~-coser = 2

~rt.G_f-~fo?oS~ == ,....--,-- ---- .. -:--;:: ' . ... ' {L. .. .' ......

f- 'S~" ~?-:: ~+-(~r ~> ... .-:::-(~ {

2- -;.-r j,.-V

11. tan8-1 l-cot8 tone + 1 1 ... cot 8

, SI",19 _ ~(5)-= LOr" 9 L6-;; (9

<51'" c9 + ~(!7 (.o~ () (~'>.c9

13. coS x + 1 csc x sin3 x 1 - cos x

(07 l>Cy( -? -::.

-;"', ~ (f (;~-l L--

5,,,y(I-(orx )ll"'c~ {

~(/" /Yl /- (Os ')C') -=- 5{~)" 1-

tan8 cot8 . 15. --+ --= Sln8+cos8

see8 ese8

~ . R.

y~'J ~I~ 5, V\ e-..j. &lr$-

(S't..y _

esc,>", ~

, - tur

::::=- "\ 10. (Sine + cose)( tane+ cote) = sec 8 + csce

s; .. g -1--(9 ... 5" t., &- ,,* C) t-(.Q!) &;....J: & ;; ~ ~

+ co!> ~ ,ot;<S> ::

~ 1 \ i ~ ~

~I '" C> of (...OS eJ -t ( > I '" (9 ... COS 0 ) ~ QS ~ ( I IS 1\ e-- /"

r,tI 'ell-~~ of 51" 'L~ "'-<"05 1 <1< 7'

1- tan-x = 1- 2 sin2 x 12. 1+ tan2x c<;;c IP ~ ~c. ~

(_~ 'L", " L S"e to ').? ~

+-- ... L ~ ~ J~. 5"~c '-I'" . 5-e.:. V t. . ( ~

((~. t-- ., 'V' _ \!:!! j .le. - -;; , f1 >< - . _<:/A.'N _c;.t",'1 ", -1< v ·

(~'2-. <;I"'~"K" -1

4 4 2 . 4. csc x - cot x = csc x + cot2 x

c€ic9-'Qf'l~)( uc -''1('. c~f 1."1<') = /, ,_ L ~ _ ¢'-----H--\ ~I+-~O1. --v-l

. LeSe 2-'« ~ (01:: tty) :::... J \/

Gu ...... ~iny + tany =siny 16. 1 + secy

s .. " ~ +-51(\ '1 CO!. :1

>

I l+ {.OJ.'O"

<51"< (~ ... ~I-"-£;A

(os. .,. I

~

--------­'~ \

\

".(,0" oj )

(5+(~/ ";1 (I j ~

Trig Identity Quiz

Prove the following identity

1) 2 cos etan ecsc e= 2

2)6cos ----- = 6sm e {I cot e J . l

cos e esc e

l cot e , , 3) 7 --e- sec e= 7 tan ecos ecsc e

esc

Name