Answer
$\csc\theta$
Work Step by Step
Given expression is-
$\frac{\sec\theta}{\tan\theta}$
= $\frac{1/\cos\theta}{\sin\theta/\cos\theta}$
= $ \frac{1}{\cos\theta} \times \frac{\cos\theta}{\sin\theta}$
= $\frac{1}{\sin\theta}$
= $\csc\theta$
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: 19
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