Prove the identity. sin(x) + sin(7x) cos(x) + cos(7x) Use the Sum-to-Product Formulas and then simplify. sin(x) + sin(7x) cos(x) + cos(7x) =tan(4x) = 2 cos(4x) cos(3x) cos(4x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 21E
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Prove the identity.
sin(x) + sin(7x)
= tan(4x)
cos(x) + cos(7x)
Use the Sum-to-Product Formulas and then simplify.
sin(x) + sin(7x) =
cos(x) + cos(7x)
2 cos(4x) cos(3x)
cos(4x)
Transcribed Image Text:Prove the identity. sin(x) + sin(7x) = tan(4x) cos(x) + cos(7x) Use the Sum-to-Product Formulas and then simplify. sin(x) + sin(7x) = cos(x) + cos(7x) 2 cos(4x) cos(3x) cos(4x)
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