Verify the identity. sin x/ 1-sin x − cos x/ 1-sin x= 1-cot x /csc x-1 Working with the left-hand side, combine the terms into a single fraction. Then multiply the numerator and denominator by 1/sinx. Simplify and rewrite in terms of cot x and csc x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 26E
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Verify the identity.

sin x/ 1-sin x − cos x/ 1-sin x= 1-cot x /csc x-1

Working with the left-hand side, combine the terms into a single fraction. Then multiply the numerator and denominator by 1/sinx. Simplify and rewrite in terms of cot x and csc x.

 
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