Trigonometry (11th Edition) Clone

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 63: 83

Answer

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Work Step by Step

$\theta$ and $\theta+n\cdot 360^{\circ}$ are coterminal angles. Coterminal angles are angles sharing same initial and terminal sides. Therefore, the value of trigonometric functions of all coterminal angles are same. This implies that $\sin\theta=\sin(\theta+n\cdot360^{\circ}$)
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