Prove the following trig identities: tan 2x - 2 tan 2x sin²x = sin 2x b. sec² x-2 secx cos x + cos²x = tan² x −sin² x a.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 46E
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a.
Prove the following trig identities:
tan 2x - 2 tan 2x sin²x = sin 2x
b. sec² x-2 secx cos x + cos²x = tan² x-sin² x
Transcribed Image Text:a. Prove the following trig identities: tan 2x - 2 tan 2x sin²x = sin 2x b. sec² x-2 secx cos x + cos²x = tan² x-sin² x
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