Verify the identity. sin x + cos³ x =1 - sin x cos x sin x + cos x Factor the numerator, and use a Pythagorean Identity to simplify. sin³ x + cos³ x (sin cos sin x + cos x sin x + cos x = (sin? x + cos?, x)- | %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 68E
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Verify the identity.
sin x + cos³ x = 1 – sin x cos x
sin x + cos x
Factor the numerator, and use a Pythagorean Identity to simplify.
sin³ x + cos³ x
sin
+ cos
sin x + cos x
sin x + cos x
- (sin?.
sin? x + cos? x
Transcribed Image Text:Verify the identity. sin x + cos³ x = 1 – sin x cos x sin x + cos x Factor the numerator, and use a Pythagorean Identity to simplify. sin³ x + cos³ x sin + cos sin x + cos x sin x + cos x - (sin?. sin? x + cos? x
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