Prove the identity. sin(3x) + sin(4y) = tan (3x + 4y) cos(3x) + cos(4y) 2 Use the Sum-to-Product Formulas and then simplify. sin(3x) + sin(4y) cos(3x) + cos(4y) || = 2( sin COS X × ) X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 11E
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Prove the identity.
_sin(3x) + sin(4y)
3x
( ³x + 4y)
cos(3x) + cos(4y)
2
Use the Sum-to-Product Formulas and then simplify.
sin(3x) + sin(4y)
cos(3x) + cos(4y)
= tan
=
20
sin
COS
x)
x )
Transcribed Image Text:Prove the identity. _sin(3x) + sin(4y) 3x ( ³x + 4y) cos(3x) + cos(4y) 2 Use the Sum-to-Product Formulas and then simplify. sin(3x) + sin(4y) cos(3x) + cos(4y) = tan = 20 sin COS x) x )
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