Answer
$\sqrt 3$
Work Step by Step
Assume that $\csc\theta =2$, then by solving the triangle, we have:
$$\cot\theta=\sqrt 3.$$
Now, since $\theta =\csc^{-1}2 $, we have
$$\cot(\csc^{-1}2 )=\cot\theta=\sqrt 3 .$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.8 Inverse Trigonometric Functions - Exercises - Page 374: 25
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