Answered: Simple sine and cosine products with…

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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Simple sine and cosine products with different angles.

Remember that:

i) sin(α + β) = sin α cos β + cos α sin β
ii) sin(α − β) = sin α cos β − cos α sin β
iii) cos(α − β) = cos α cos β + sin α sin β
iv) cos(α + β) = cos α cos β − sin α sin β

sin(πx) sin(2πx)dx

Simple sine and cosine products with different angles.
Remember that:
i) sin(a + B) = sin a cos 3 + cos a sin 3
ii) sin(a – B) = sin a cos 3 – cos a sin 3
iii) cos(a – B) = cos a cos B + sin a sin 3
iv) cos(a+ B) = cos a cos 3 – sin a sin 3
Calculate the following indefinite integrals.
S sin(7x) sin(27x')dx

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