Answer
$cot(arctan~x)=\frac{1}{x}$
Work Step by Step
Let $u=arctan~x~~$ (Range: $-\frac{\pi}{2}\lt u\lt\frac{\pi}{2}$)
Then: $x=tan~u$
$cot(arctan~x)=cot~u=\frac{1}{tan~u}=\frac{1}{x}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 6 - 6.6 - Inverse Trigonometric Functions - 6.6 Exercises - Page 485: 65
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