Cos(x)•Cos(-x)-sin()sin(-x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 22RE
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Simplify the expression, should equal 1! Just show me the steps

Cos(x)•Cos(-x)-sin()sin(-x)
Transcribed Image Text:Cos(x)•Cos(-x)-sin()sin(-x)
Expert Solution
Step 1

Given:

cos(x) cos(-x) - sin(x) sin(-x)

Step 2

cos x is even function.

that is,

cos(-x)= cos x

sin x is odd function

that is,

sin(-x) = - sin x 

Identity: cos2(x) + sin2(x) =1

 

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