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Chapter 5: Q. 7 (page 464)

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

Short Answer

Expert verified

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 $x = \cos u$ .

Step by step solution

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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Why don’t we ever have cause to use the trigonometric substitution x=cosu?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solution:-

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