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Verify the identity. (Simplify at each step.) 3 cos(x + y) cos(x - y) = 3 cos(x) - 3 sin²(y)

Verify the identity. (Simplify at each step.) 3 cos(x + y) cos(x - y) = 3 cos(x) - 3 sin²(y)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Clearly fill in every blank. Thanks. 5.4
Verify the identity. (Simplify at each step.) 3 cos(x + y)cos(x - y) = 3 cos(x) - 3 sin²(y) 3 cos(x + y)cos(x − y) = 3(cos(x)cos(y) - = 3 3 cos²(x)cos²(y) - 3 sin²(x) = - 3 cos²(x)(1- = 3 cos²(x) - 3 cos²(x)( = 3 cos²(x) - ( = 3 cos²(x) - 3 sin²(y) ) ))( 3 sin²(x) )- 3 sin?(x)( )(cos²(x) + sin²(x)) ) + sin(x) sin(y))
Transcribed Image Text:Verify the identity. (Simplify at each step.) 3 cos(x + y)cos(x - y) = 3 cos(x) - 3 sin²(y) 3 cos(x + y)cos(x − y) = 3(cos(x)cos(y) - = 3 3 cos²(x)cos²(y) - 3 sin²(x) = - 3 cos²(x)(1- = 3 cos²(x) - 3 cos²(x)( = 3 cos²(x) - ( = 3 cos²(x) - 3 sin²(y) ) ))( 3 sin²(x) )- 3 sin?(x)( )(cos²(x) + sin²(x)) ) + sin(x) sin(y))
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