Answer
$-\frac{\sqrt 3}{3}$
Work Step by Step
The given problem can be solved as:
$cot({sin^{-1}(-\frac{\sqrt 3}{2})})=cot ( -\frac{\pi}{3})$
or, $cot ( -\frac{\pi}{3})=\frac{-\sqrt 3}{3}$
Hence. the final answer is: $-\frac{\sqrt 3}{3}$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 3 - Section 3.9 - Inverse Trigonometric Functions - Exercises - Page 181: 12
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