Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.6 Half-Angle Identities - 5.6 Exercises - Page 243: 61



Work Step by Step

$$\sin\frac{\theta}{2}=\frac{1}{m}$$ $$\theta=60^\circ$$ In this exercise, it is much faster and easier to replace the angle into the formula right away. $$\sin\frac{60^\circ}{2}=\frac{1}{m}$$ $$\sin30^\circ=\frac{1}{m}$$ $$\frac{1}{2}=\frac{1}{m}$$ $$m=2$$ $m=2$ is the final result.
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