- sin (a- B) tan ß- tan a tan a+ tan sin (a+ P) Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately. (Do not simplify ) Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step. Divide out common factors in the expression from the previous step. Do not apply any trigonometric identities yet. (Simplify your answer.) sin (a - B) The expression from the previous step then simplifies to - using what? sin (a + B) O A. Quotient Identity O B. Sum and Difference formula OC. Pythagorean Identity O D. Even-Odd Identity O E. Reciprocal Identity OF. No identity is reguired Evaluate the r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 68E
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Verify the identity.
sin (a - B) tan B- tan a
sin (a + B)
tan a+ tan B
Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately.
(Do not simplify)
Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step.
Divide out common factors in the expression from the previous step. Do not apply any trigonometric identities yet.
(Simplify your answer.)
sin (a - B)
The expression from the previous step then simplifies to
sin (a + B)
using what?
O A. Quotient Identity
O B. Sum and Difference formula
OC. Pythagorean Identity
O D. Even-Odd Identity
O E. Reciprocal Identity
O F
No identity is required. Evaluate the previous expression wherever possible and simplify.
Transcribed Image Text:Verify the identity. sin (a - B) tan B- tan a sin (a + B) tan a+ tan B Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately. (Do not simplify) Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step. Divide out common factors in the expression from the previous step. Do not apply any trigonometric identities yet. (Simplify your answer.) sin (a - B) The expression from the previous step then simplifies to sin (a + B) using what? O A. Quotient Identity O B. Sum and Difference formula OC. Pythagorean Identity O D. Even-Odd Identity O E. Reciprocal Identity O F No identity is required. Evaluate the previous expression wherever possible and simplify.
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