Verify the identity. sin (a + B) tan a + tan B - sin (α-β) tan B- tan a Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately. sin a sin ß cos a ' cos ß (Do not simplify.) sin ß sin a cos B cos a Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step. sin a cos ß+ sin B cos a sin ß cos a - sin a cos ß
Verify the identity. sin (a + B) tan a + tan B - sin (α-β) tan B- tan a Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately. sin a sin ß cos a ' cos ß (Do not simplify.) sin ß sin a cos B cos a Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step. sin a cos ß+ sin B cos a sin ß cos a - sin a cos ß
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 16RE
Related questions
Question
![Verify the identity.
sin (a + B)
tan a + tan B
- sin (α-β)
tan B- tan a
Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately.
sin a sin ß
cos a cos B
(Do not simplify.)
sin ß sin a
cos B
cos a
Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step.
sin a cos ß+ sin ßcos a
sin ß cos a - sin a cos ß](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11c6c0a5-f622-421e-8bf5-087b881f5fc4%2F1bc037be-6e55-4bb2-9788-55265fb80b07%2Fv8o2ex_processed.png&w=3840&q=75)
Transcribed Image Text:Verify the identity.
sin (a + B)
tan a + tan B
- sin (α-β)
tan B- tan a
Write the right side of the identity in terms of cosine and sine. Rewrite the numerator and the denominator separately.
sin a sin ß
cos a cos B
(Do not simplify.)
sin ß sin a
cos B
cos a
Rewrite the numerator as a single fraction and the denominator as a single fraction of the expression from the previous step.
sin a cos ß+ sin ßcos a
sin ß cos a - sin a cos ß
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