Answer
$2\cos\theta$
Work Step by Step
Given expression is-
$\sin\theta\cot\theta + \cos\theta$
= $\sin\theta\times\frac{\cos\theta}{\sin\theta} + \cos\theta$
=$ \cos\theta + \cos\theta $
= $2\cos\theta$
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: 27
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