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)

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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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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