Prove the identity sin (a+ B) + sin (a-B) = 2 sina cos ß. To verify the identity, start with the left side and transform it to look like the right side. Choose the correct transformations and transform the expression at each step. sin (a+ B) + sin (a-B) = sin a cos B+ cos a sin B + sin a cos B- cos a sin ßUse sum and difference identities. Combine like terms. = 2 sin a cos f

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 65E
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Prove the identity sin (a+ B) + sin (a- B) = 2 sin a cos ß.
To verify the identity, start with the left side and transform it to look like the right side. Choose the correct transformations and transform the expression at each step.
sin (a+ B) + sin (a-B)
= sin a cos B+ cos a sin B+ sin a cos B- cos a sin B Use sum and difference identities.
= 2 sin a cos fß
Combine like terms.
Time
Click to select your answer(s).
Transcribed Image Text:Prove the identity sin (a+ B) + sin (a- B) = 2 sin a cos ß. To verify the identity, start with the left side and transform it to look like the right side. Choose the correct transformations and transform the expression at each step. sin (a+ B) + sin (a-B) = sin a cos B+ cos a sin B+ sin a cos B- cos a sin B Use sum and difference identities. = 2 sin a cos fß Combine like terms. Time Click to select your answer(s).
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