Prove the identity. cot A = sin 2A 1- cos 2A 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 24 1 - cos 2A 1 - 1 - 2 sin A cos A cos A = cot A
Prove the identity. cot A = sin 2A 1- cos 2A 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 24 1 - cos 2A 1 - 1 - 2 sin A cos A cos A = cot A
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 60E
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