Answer
The identity is verified.
$tan\frac{u}{2}=csc~u-cot~u$
Work Step by Step
$tan\frac{u}{2}=\frac{1-cos~u}{sin~u}=\frac{1}{sin~u}-\frac{cos~u}{sin~u}=csc~u-cot~u$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 7 - 7.5 - Multiple-Angle and Product-to-Sum Formulas - 7.5 Exercises - Page 549: 68
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