Prove the identity. sin(x - y) - sin(x + y) = -tan(y) cos(x + y) + cos(x - y) Use the Addition and Subtraction Formulas, and then simplify. 4 sin(x - y) - sin(x + y) cos(x + y) + cos(x - y) Read it 11 ) - (sin(x) cos(y) + cos(x) sin(y)) (cos(x) cos(y) – sin(x) sin(y)) + (cos(x) cos(y) + sin(x) sin(y)) 2 cos(x) cos(y) cos(y) Watch it

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°.
icon
Related questions
Question
Prove the identity.
-
sin(x - y) sin(x + y)
cos(x + y) + cos(x - y)
-tan(y)
Use the Addition and Subtraction Formulas, and then simplify.
A
-(sin(x) cos(y) + cos(x) sin(y))
sin(x - y) - sin(x + y)
cos(x + y) + cos(x - y)
(co
cos(x) cos(y) – sin(x) sin(y)) + (cos(x) cos(y) + sin(x) sin(y))
2 cos(x) cos(y)
cos(y)
In2
Read It
=
11
Watch It
Transcribed Image Text:Prove the identity. - sin(x - y) sin(x + y) cos(x + y) + cos(x - y) -tan(y) Use the Addition and Subtraction Formulas, and then simplify. A -(sin(x) cos(y) + cos(x) sin(y)) sin(x - y) - sin(x + y) cos(x + y) + cos(x - y) (co cos(x) cos(y) – sin(x) sin(y)) + (cos(x) cos(y) + sin(x) sin(y)) 2 cos(x) cos(y) cos(y) In2 Read It = 11 Watch It
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning