Calculus (3rd Edition)

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


$\sqrt 3$

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 $$\cot(\csc^{-1}2 )=\cot\theta=\sqrt 3 .$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.