21-sina 1+ sina1+ sina 1- sina-4tana seca

Answered: 1-sina 1+sina = -4tana seca %3D 1+ sina…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Related questions

Question

21-sina 1+ sina
1+ sina 1- sina
-4tana seca

Expert Solution

Step 1

NOTE: Refresh your page if you can't see any equations.

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

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