Use double angle identities to find values of the sine and cosine functions for each angle. (a) 28, given sin 0 = and cos 0<0 and cos 0 <0 %D (b) 2x, given tan x = 2 and cos x > 0 %3D V5 and cos 0> 0 7. (c) 20, given sin 0 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Use the double angle identities to find values of the sine and cosine functions for each angle. 

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Exercise 1.3
1. Use double angle identities to find values of the sine and cosine
functions for each angle.
21
(a) 20, given sin 0 = and cos 0 <0
(b) 2x, given tan x = 2 and cos x>0
V5
and cos 0> 0
7.
(c) 26, given sin 0 =
3.
(d) 0, given cos 20
and 0 terminates in quadrant I
%3D
3.
(e) 0, given 26 =
and 0 terminates in quadrant III
4.
(f) 8, given cos 20
5
and 90° < 0 < 180°
12
%3D
(g) 0, given cos 20
and 90° <0 < 180°
%3D
3.
Transcribed Image Text:Exercise 1.3 1. Use double angle identities to find values of the sine and cosine functions for each angle. 21 (a) 20, given sin 0 = and cos 0 <0 (b) 2x, given tan x = 2 and cos x>0 V5 and cos 0> 0 7. (c) 26, given sin 0 = 3. (d) 0, given cos 20 and 0 terminates in quadrant I %3D 3. (e) 0, given 26 = and 0 terminates in quadrant III 4. (f) 8, given cos 20 5 and 90° < 0 < 180° 12 %3D (g) 0, given cos 20 and 90° <0 < 180° %3D 3.
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