Verify the identity. sin (a+ B) = cot B+ cot a sin a sin B Write the left side numerator in terms of a sum or difference formula for sine or cosine. sin (a+ B) sin a sin B sin asin B Rewrite the expression found in the previous step by separating the denominator. sin a cos B cos a sin B The expression from the previous step then simplifies to cot B+ cot a using what? O A. Even-Odd Identity O B. Reciprocal Identity O C. Pythagorean Identity O D. Quotient Identity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 14RE
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Verify the identity.
sin (a+ B)
= cot B+ cot a
sin a sin B
Write the left side numerator in terms of a sum or difference formula for sine or cosine.
sin (a+ B)
sin a sin B
sin asin B
Rewrite the expression found in the previous step by separating the denominator.
sin a cos B
cos a sin B
The expression from the previous step then simplifies to cot B+ cot a using what?
O A. Even-Odd Identity
O B. Reciprocal Identity
O C. Pythagorean Identity
O D. Quotient Identity
Transcribed Image Text:Verify the identity. sin (a+ B) = cot B+ cot a sin a sin B Write the left side numerator in terms of a sum or difference formula for sine or cosine. sin (a+ B) sin a sin B sin asin B Rewrite the expression found in the previous step by separating the denominator. sin a cos B cos a sin B The expression from the previous step then simplifies to cot B+ cot a using what? O A. Even-Odd Identity O B. Reciprocal Identity O C. Pythagorean Identity O D. Quotient Identity
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