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
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
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 24E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46c974b8-8710-4191-8669-d117f7a7c621%2Fde856f90-fdd3-47a2-b196-894880bd7129%2F8gc7d2s_processed.jpeg&w=3840&q=75)
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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