Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3) (b) sin(a + 3) = sin(a) cos(3) + cos(a) sin(3) tan(a)+tan(3) (c) tan(a + 3) 1-tan(a) tan(3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 96E
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Prove the following useful trigonometric identities:
(a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3)
(b) sin(a + 3) = sin(a) cos(3) + cos(a) sin(3)
(c) tan(a + 3) =
=
tan(a)+tan(3)
1-tan(a) tan(3)
Transcribed Image Text:Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3) (b) sin(a + 3) = sin(a) cos(3) + cos(a) sin(3) (c) tan(a + 3) = = tan(a)+tan(3) 1-tan(a) tan(3)
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