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Answer: Rational functions of trigonometric functions An

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 72E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 72E

Rational functions of trigonometric functions An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitution u =tan (x/2) or x = 2 tan?1 u. The following relations are used in making this change of variables.A: B: C: Verify relation A by differentiating x =2tan?1 u. Verify relations B and C using a right-triangle diagram and the double-angle formulas

Step-by-Step Solution:

SOLUTIONStep 1We are given that Therefore on differentiation we get Thus we have verified statement A.

Step 2 of 3

Chapter 7.4, Problem 72E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The full step-by-step solution to problem: 72E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: functions, tan, relations, Using, Trigonometric. This expansive textbook survival guide covers 112 chapters, and 5248 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Rational functions of trigonometric functions An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitution u =tan (x/2) or x = 2 tan?1 u. The following relations are used in making this change of variables.A: B: C: Verify relation A by differentiating x =2tan?1 u. Verify relations B and C using a right-triangle diagram and the double-angle formulas” is broken down into a number of easy to follow steps, and 69 words. Since the solution to 72E from 7.4 chapter was answered, more than 251 students have viewed the full step-by-step answer.

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Answer: Rational functions of trigonometric functions An