Answer
$\frac{1}{cotx}$
Work Step by Step
$\frac{1}{sinxcosx}$ - cotx = $\frac{1}{sinxcosx}$ - $\frac{cosx}{sinx}$= $\frac{1-cos^{2}x}{sinxcosx}$ = $\frac{sin^{2}x}{sinxcosx}$=$\frac{sinx}{cosx}$= $\frac{1}{cotx}$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 5 - Section 5.1 - Verifying Trigonometric Identities - Exercise Set - Page 660: 70
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