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Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the following trigonometric identities 1 sin a cosẞ= (sin(aß) + sin(a + B)) 1 - sin a sin ẞ=(cos(a - ß) – cos(a + B)) 2 1 cos a cosẞ= (cos(a-B) + cos(a + B)) Use these identities to solve the following. a. sin(4x) cos (5x) dx b. sin(50) sin(e) de

Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the following trigonometric identities 1 sin a cosẞ= (sin(aß) + sin(a + B)) 1 - sin a sin ẞ=(cos(a - ß) – cos(a + B)) 2 1 cos a cosẞ= (cos(a-B) + cos(a + B)) Use these identities to solve the following. a. sin(4x) cos (5x) dx b. sin(50) sin(e) de

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Integrals of the form sin mx cos nx dx S sin mx sin nx dx cos mx cos nx dx can be found using the following trigonometric identities 1 sin a cosẞ= (sin(a - ẞ) + sin(a + B)) 2 1 sin a sinß = (cos(a − ß) − cos(a + ß)) 1 - cos a cos ẞ=(cos(a − ß) + cos(a + ß)) Use these identities to solve the following. a. sin(4x) cos (5x) dx b. s sin(50) sin(0) de
Transcribed Image Text:Integrals of the form sin mx cos nx dx S sin mx sin nx dx cos mx cos nx dx can be found using the following trigonometric identities 1 sin a cosẞ= (sin(a - ẞ) + sin(a + B)) 2 1 sin a sinß = (cos(a − ß) − cos(a + ß)) 1 - cos a cos ẞ=(cos(a − ß) + cos(a + ß)) Use these identities to solve the following. a. sin(4x) cos (5x) dx b. s sin(50) sin(0) de
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