verie The ldentit 1-Sine Cose ८० ५० 2sece 1-21ne

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 20E
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verie The ldentit
1-Sine Cose
८० ५०
2sece
1-21ne
Transcribed Image Text:verie The ldentit 1-Sine Cose ८० ५० 2sece 1-21ne
Expert Solution
Step 1

Firstly, wesimplify left hand side of equation by adding two fractions.

(1- sine)cos2 e
cos e(1-sine)
1 sin
cose
1 sin
cose
Step 2

By using the result (a-b)^2=a^2+b^2-2ab, we have

1+sin20-2sin 0+ cos2 0
1-sin
cos e
1 sin
cose(1-sine)
cose
1+(sin + cos e)-2sin 0
cose(1-sine)
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