Answer
$\sec\theta$
Work Step by Step
Given expression is-
$\frac{\csc\theta}{\cot\theta}$
= $\frac{1/\sin\theta}{\cos\theta/\sin\theta}$
= $ \frac{1}{\sin\theta} \times \frac{\sin\theta}{\cos\theta}$
= $\frac{1}{\cos\theta}$
= $\sec\theta$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 1 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 45: 20
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