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

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
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage