Verify the identity. (Simplify 3 cos x 3 cos y sin x + sin y 3 cos x at each step.) sin x + sin y + 3 sin x-3 sin y = 0 cos x+cos y 3 cos y 3 sin x - 3 sin y = cos x+cos y = 3 cos x- 3 cos²x - 3(cos? x = 0 X[ (sin x + sin y) (cos x + cos y) + 3 sin² x 3 sin² y (sin x + sin y) (cos x + cos y) x + ) -3 (cos² y + (sin x + sin y) (cos x + cos y) + cos y) + 3 (sin x - sin y) (sin x + sin y)

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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Question
Verify the identity. (Simplify at each step.)
3 cos x - 3 cos y +
sin x + sin y
3 cos x 3 cos y
sin x + sin y
+
3 sin x-3 sin y = 0
cos x + cos y
3 sin x
cos x + cos y
3 sin y
=
3
COS X -
3 cos²x -
= 0
3 (cos²x+
X
(sin x + sin y) (cos x + cos y)
+ 3 sin² x - 3 sin² y
(sin x + sin y) (cos x + cos y)
y) + 3 (sin x - sin y) (sin x + sin y)
- 3 (cos² y +
(sin x + sin y) (cos x + cos y)
+ cos y
Transcribed Image Text:Verify the identity. (Simplify at each step.) 3 cos x - 3 cos y + sin x + sin y 3 cos x 3 cos y sin x + sin y + 3 sin x-3 sin y = 0 cos x + cos y 3 sin x cos x + cos y 3 sin y = 3 COS X - 3 cos²x - = 0 3 (cos²x+ X (sin x + sin y) (cos x + cos y) + 3 sin² x - 3 sin² y (sin x + sin y) (cos x + cos y) y) + 3 (sin x - sin y) (sin x + sin y) - 3 (cos² y + (sin x + sin y) (cos x + cos y) + cos y
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