1. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1

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 38E
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Prove the given identities

1.
2. 2 cotx csc x =
3.
4.
(1 cos 0) (1 + cos 0) (1 + cot²0) = 1
1
1
secx-1
secx + 1
5.
sin²xcos³x = cos x(sin²x - 2sin¹x + sinºx)
sin x - cos x
sin x + cos x
2 sin ²x - 1
1 + 2 sin x cos x
2 tan x
1
1tan²x cos²x
+
1
cos x + sinx
cosx — sin x
Transcribed Image Text:1. 2. 2 cotx csc x = 3. 4. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1 1 1 secx-1 secx + 1 5. sin²xcos³x = cos x(sin²x - 2sin¹x + sinºx) sin x - cos x sin x + cos x 2 sin ²x - 1 1 + 2 sin x cos x 2 tan x 1 1tan²x cos²x + 1 cos x + sinx cosx — sin x
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