Prove the identity. sin 2A 1 - cos 2A cot A = We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify. 2 sin A cos A sin 2A 1 - cos 2A 1 - 1 - 2 sin A cos A cos A = cot A

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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Prove the identity.
sin 2A
1 - cos 2A
cot A =
We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify.
2 sin A cos A
sin 2A
1 - cos 2A
1 -
2 sin A cos A
cos A
= cot A
Transcribed Image Text:Prove the identity. sin 2A 1 - cos 2A cot A = We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify. 2 sin A cos A sin 2A 1 - cos 2A 1 - 2 sin A cos A cos A = cot A
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