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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.

71. sin(tan‒1 x)

To determine

To simplify: The expression sin(tan1x) .

Explanation

Calculation:

Let y=tan1x .

Then, tany=x .

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

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

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

Therefore, the value of hypotenuse is 1+x2 as hyp =

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