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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Simplify the expression.

70. tan(sin‒1 x)

To determine

To simplify: The expression tan(sin1x) .

Explanation

Calculation:

Let y=sin1x .

Then, siny=x .

Notice that the value of tan y is to be found.

The equation siny=x can be expressed as, siny=x1 .

By Pythagoras theorem, the value of hypotenuse = 1 and the value of opposite side = x.

Therefore, the value of adjacent side is 1x2 as

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