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Q. 7

Expert-verified

Calculus

Found in: Page 464

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

Why don’t we ever have cause to use the trigonometric substitution $x = \cos u$ ?

Ans: In terms of the Pythagorean identity, sine and cosine behave the same way. That's why we can always use $x = \sin u$ instead of $x = \cos u$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

given,

$x = \cos u$

Step 2. Solution:-

In terms of the Pythagorean identity, sine and cosine behave the same way. That's why we can always use $x = \sin u$ instead of $x = \cos u$ .

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