Answer
See below.
Work Step by Step
$LHS=tan\theta+cot\theta=\frac{sin\theta}{cos\theta}+\frac{cos\theta}{sin\theta}=\frac{sin^2\theta+cos^2\theta}{sin\theta cos\theta}=\frac{1}{sin\theta cos\theta}=sec\theta csc\theta=RHS$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.4 Trigonometric Identities - 6.4 Assess Your Understanding - Page 497: 74
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