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Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 1 1 [1 -cos(m− n)x= cos(m+n)x] + C m+n 1 1 cos(m− n)x - cos(m+n)x] + C m-n 1 _sin(-x)x+____sin(m+n)x]+€ C m-n ²² _00K(1 - 1) x + = =+=00(1+1)x] + C -cos(m-n)x+ -cos(m m+n [ 2 m-n

Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 1 1 [1 -cos(m− n)x= cos(m+n)x] + C m+n 1 1 cos(m− n)x - cos(m+n)x] + C m-n 1 _sin(-x)x+____sin(m+n)x]+€ C m-n ²² _00K(1 - 1) x + = =+=00(1+1)x] + C -cos(m-n)x+ -cos(m m+n [ 2 m-n

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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QUESTION 13 Suppose m and n are constants and mn. Evaluate sin(mx) cos(nx) dx 1 1 1 cos(m− n)x - _ cos(m+n)x]+C 2n-m 1 -cos(m-n)x - cos (m + n)x] + C 2 m-n m+n 1 2 m-n m+n 1 -sin(m-n)x+ - sin(m+n)x] + C -cos(m+n)x] + C 1 1 -cos(m− n)x+_¹__cos (m - 2 m-n m+n
Transcribed Image Text:QUESTION 13 Suppose m and n are constants and mn. Evaluate sin(mx) cos(nx) dx 1 1 1 cos(m− n)x - _ cos(m+n)x]+C 2n-m 1 -cos(m-n)x - cos (m + n)x] + C 2 m-n m+n 1 2 m-n m+n 1 -sin(m-n)x+ - sin(m+n)x] + C -cos(m+n)x] + C 1 1 -cos(m− n)x+_¹__cos (m - 2 m-n m+n
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