Use the following three identities to evaluate sin 10x cos 7x dx. sin sx cos tx = sin sx sin tx = cos sx cos tx = sin 10x cos 7x dx = [sin (s+t)x+ sin (s-t)x] [cos (s+t)x − cos (s − t)x] [cos(s+t)x+ cos (s-t)x]

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...
Question
Use the following three identities to evaluate
sin sx sin tx =
·S=
sin sx cos tx = [sin (s + t)x+ sin (s-t)x]
[cc
[cos (s+t)x- cos (s-t)x]
cos sx cos tx =
sin 10x cos 7x dx =
sin 10x cos 7x dx.
[cos (s+t)x+ cos (s - t)x]
G
Transcribed Image Text:Use the following three identities to evaluate sin sx sin tx = ·S= sin sx cos tx = [sin (s + t)x+ sin (s-t)x] [cc [cos (s+t)x- cos (s-t)x] cos sx cos tx = sin 10x cos 7x dx = sin 10x cos 7x dx. [cos (s+t)x+ cos (s - t)x] G
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