e left side and transform it to look like the right side. Choose the correct transformation and transform the expr in t 2 sint cos t) sin t 2 sin tcos t Odd identity Even identity Cosine of a difference identity Simplification

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Verify that the following equation is an identity.
cos 3t = cos t-4 sin t cost
To verify the identity, start with the left side and transform it to look like the right side. Choose the correct transformation and transform the expression at each step.
cos 3t = cos (2t +t)
= cos 2t cost- sin 2t sint
(1-2 sin t) cos t- (2 sin t cos t) sin t
2,
= cos t-2 sin t cos t-2 sin t cos t
= cos t- 4 sin't cos t
Odd identity
Even identity
Cosine of a difference identity
Simplification
Transcribed Image Text:Verify that the following equation is an identity. cos 3t = cos t-4 sin t cost To verify the identity, start with the left side and transform it to look like the right side. Choose the correct transformation and transform the expression at each step. cos 3t = cos (2t +t) = cos 2t cost- sin 2t sint (1-2 sin t) cos t- (2 sin t cos t) sin t 2, = cos t-2 sin t cos t-2 sin t cos t = cos t- 4 sin't cos t Odd identity Even identity Cosine of a difference identity Simplification
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