4. sin x - cos x - sin x + cos x 2 tan x = 2 sin ²x - 1 1 + 2 sin x cos x cocx + cin x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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prove the given identities

4.
5.
sin x COS X
sin x + cos x
2 tan x
1tan²x
+
2 sin ²x 1
1 + 2 sin x cos x
1
cos²x - 1
=
cos x + sin x
cosx – sin x
Transcribed Image Text:4. 5. sin x COS X sin x + cos x 2 tan x 1tan²x + 2 sin ²x 1 1 + 2 sin x cos x 1 cos²x - 1 = cos x + sin x cosx – sin x
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