1-sina 1+sina = -4tana seca %3D 1+ sina 1- sina

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 27E
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21-sina 1+ sina
1+ sina 1- sina
-4tana seca
Transcribed Image Text:21-sina 1+ sina 1+ sina 1- sina -4tana seca
Expert Solution
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the left-hand side of the equation is 

LHS=\frac{1-\sin \left(\alpha \right)}{1+\sin \left(\alpha \right)}-\frac{1+\sin \left(\alpha \right)}{1-\sin \left(\alpha \right)}

adjust the denominator 

LHS=\frac{1-\sin \left(\alpha \right)}{1+\sin \left(\alpha \right)}\cdot \frac{1-\sin \left(\alpha \right)}{1-\sin \left(\alpha \right)}-\frac{1+\sin \left(\alpha \right)}{1-\sin \left(\alpha \right)}\cdot \frac{1+\sin \left(\alpha \right)}{1+\sin \left(\alpha \right)}

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