Prove the half-angle identity sin A/2 = +√((1 - cos A)/2) Square both sides: Multiply both sides by 2, and write A = 2( 2 using a )=( Then, the right-hand side of the last equation can be written as ²0 ) + ²0 the last expression simplifies to 2 -angle identity for cosine. By applying ) to get x = sin ) X completing the proof. Use the notation sin²x, cos²x, etc. for powers of tria functions. A)/ 20 ) )
Prove the half-angle identity sin A/2 = +√((1 - cos A)/2) Square both sides: Multiply both sides by 2, and write A = 2( 2 using a )=( Then, the right-hand side of the last equation can be written as ²0 ) + ²0 the last expression simplifies to 2 -angle identity for cosine. By applying ) to get x = sin ) X completing the proof. Use the notation sin²x, cos²x, etc. for powers of tria functions. A)/ 20 ) )
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 21E
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