Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

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Warm-Up • Write the sin, cos, and tan of angle A. A B C 15 21 28

description

Finding Corresponding Angles Use the trigonometric ratio to determine which angle of the triangle is A.

Transcript of Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Page 1: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Warm-Up

• Write the sin, cos, and tan of angle A.A

B C

15

21

28

Page 2: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Geometry 8-3

Solving Right Triangles

Page 3: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Finding Corresponding AnglesUse the trigonometric ratio to determine which angle of the triangle is A.

Page 4: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Another ExampleUse the given trigonometric ratio to determine which angle of the triangle is A.

Page 5: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Inverse Trig RatiosIf you know the sine, cosine, or tangent of an acute angle measure, you can use the inverse trigonometric functions to find the measure of the angle.

Page 6: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Examples

• Find each inverse.A. cos-1(0.87) B. sin-1(0.85) C. tan-1(0.71)

A

B C

12

16

20D. cos-1(A)

Page 7: Warm-Up Write the sin, cos, and tan of angle A. A BC 15 21 28.

Using Inverses

• Find each missing measure.


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ecare.kundanvidyamandir.comecare.kundanvidyamandir.com/main/Download.aspx?Doc=Asgn... · 16. Evaluate : sin(500 + 9) — cos(400 — 9) + tan 10 tan 100 tan 200 tan 700 tan 800 tan

 · cot 9 = adj adj 1350 1800 2100 adj opp Circular function definitions, where Ð is any angle. sin x — CSC x cscx — sin x sin x tan x — cos x sin = cos e = tan Ð tan x —

 · cot 9 = adj adj 1350 1800 2100 adj opp Circular function definitions, where Ð is any angle. sin x — CSC x cscx — sin x sin x tan x — cos x sin = cos e = tan Ð tan x —

Lesson 14.1, For use with pages 908-914 Find the sine, cosine, and tangent. 2. 2π ANSWER sin : 1, cos : 0, tan : undefined ANSWER sin: 0, cos: 1, tan:

Lesson 14.1, For use with pages 908-914 Find the sine, cosine, and tangent. 2. 2π ANSWER sin : 1, cos : 0, tan : undefined ANSWER sin: 0, cos: 1, tan:

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Simplify cos (sin −1 x ) and tan(sin −1 x ).

Notebook printing · Find exact values. a e sin 5400 b sin 1500 cos cos 5 100 c g k tan2250 tan (—30)0 d h tan 1 sin (—240)0 2 Given that A is an acute angle with tan A = and

Notebook printing · Find exact values. a e sin 5400 b sin 1500 cos cos 5 100 c g k tan2250 tan (—30)0 d h tan 1 sin (—240)0 2 Given that A is an acute angle with tan A = and

Use the 3 ratios – sin , cos and tan to solve application problems.

Use the 3 ratios – sin , cos and tan to solve application problems.

What do these pairs have in common? sin and sin -1 + and - ÷ and cos and cos -1 tan and tan -1.

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Trigonometry: Indirect Measurement - Mrs. …akornelsen.weebly.com/uploads/1/8/0/1/180120/1...Sine (Sin), Cosine (Cos) and Tangent (Tan) Sin A = Opposite A Cos A = Adjacent A Tan A

Trigonometry: Indirect Measurement - Mrs. …akornelsen.weebly.com/uploads/1/8/0/1/180120/1...Sine (Sin), Cosine (Cos) and Tangent (Tan) Sin A = Opposite A Cos A = Adjacent A Tan A

s3-ap-southeast-1.amazonaws.com · 1 - 700 sin 100 sin 100 cos 800 sin 100 cos 600 2 sin 2 sin 2 sin sin cos — cos cos sin sin z cos o Z sm IZ Z sm 24 z cos 4 sin 120 sin 60 cos

s3-ap-southeast-1.amazonaws.com · 1 - 700 sin 100 sin 100 cos 800 sin 100 cos 600 2 sin 2 sin 2 sin sin cos — cos cos sin sin z cos o Z sm IZ Z sm 24 z cos 4 sin 120 sin 60 cos

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CHAPTER 5 Analytic Trigonometry · Section 5.1 Using Fundamental Identities 383 32. sec csc csc cot 1 cos 31. sin tan x x 1 sin sin cos sec x 33. 1 cos sin cos sin 1 sec sin tan 1

delan5sxrj8jj.cloudfront.net...s A) sin A (cosA sin A — cos A i A cos- A + sin A cc sin A cos A tan A + cot A +1 OR 20. The given expression can be written as sin A cos A 4+5 P lies

delan5sxrj8jj.cloudfront.net...s A) sin A (cosA sin A — cos A i A cos- A + sin A cc sin A cos A tan A + cot A +1 OR 20. The given expression can be written as sin A cos A 4+5 P lies

2018 Nautical Almanac - navsoft.comParallax = HP x Cos(Alt) Cos(Zenith Distance) = Sin(Lat) x Sin(Dec) + Cos(Lat) x Cos(Dec) x Cos(LHA) ... C = Sin(LHA) / Tan(Azimuth) or Azimuth =

2018 Nautical Almanac - navsoft.comParallax = HP x Cos(Alt) Cos(Zenith Distance) = Sin(Lat) x Sin(Dec) + Cos(Lat) x Cos(Dec) x Cos(LHA) ... C = Sin(LHA) / Tan(Azimuth) or Azimuth =

317-F · 317F cos — cos — Sin Sin cos cos cos i + cos —2 i + SlnY— J —2 i + sin —Zi + sin nC

317-F · 317F cos — cos — Sin Sin cos cos cos i + cos —2 i + SlnY— J —2 i + sin —Zi + sin nC

Print Assignment: Trigonometry: Functions...cos x cosx 4 cosx 4 cos x cos x tan B — tan 6 . cos6= cos 6 tan B = cas 22.50 = sin 2250 = sin v = tan v = 9 sec u secu tan u = 12

Print Assignment: Trigonometry: Functions...cos x cosx 4 cosx 4 cos x cos x tan B — tan 6 . cos6= cos 6 tan B = cas 22.50 = sin 2250 = sin v = tan v = 9 sec u secu tan u = 12

education.fcps.org · + 31.0 — CDTrèrI cos 120 sin 315 tan 90 150 5pi/6 sin 4pi/3 cos pi/ 2 tan sec pi/3 11/3 z Introduction to Trigonometry ... DMS: Degrees, minutes, seconds:

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5-5 Multiple-Angle and Product-to-Sum Identities · Find the values of sin 2 , cos 2 , and tan 2 for the given value and interval. cos , (270 , 360 ) 62/87,21 sin = , tan = , tan

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> plot(cos(x) + sin(x), x=0..Pi); plot(tan(x), x=-Pi..Pi ... · > plot3d({sin(x*y), x + 2*y},x=-Pi..Pi,y=-Pi..Pi); ↵ c1:= [cos(x)-2*cos(0.4*y),sin(x)-2*sin(0.4*y),y]: ↵ c2:= [cos(x)+2*cos(0.4*y),sin(x)+2*sin(0.4*y),y]:

> plot(cos(x) + sin(x), x=0..Pi); plot(tan(x), x=-Pi..Pi ... · > plot3d({sin(x*y), x + 2*y},x=-Pi..Pi,y=-Pi..Pi); ↵ c1:= [cos(x)-2*cos(0.4*y),sin(x)-2*sin(0.4*y),y]: ↵ c2:= [cos(x)+2*cos(0.4*y),sin(x)+2*sin(0.4*y),y]: