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Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.2 Trigonometric Functions - 5.2 Exercises - Page 519: 63

Answer

0

Work Step by Step

We can find the sine of coterminal angle that belongs to [$0^{\circ}$, $360^{\circ}$) for convenience. $\sin(1800^{\circ})= \sin(1800^{\circ}-5\cdot360^{\circ})=\sin 0^{\circ}$ The terminal side of $0^{\circ}$ angle passes through (1,0). So $x=1,y=0$ and $r=1$. $\sin 0^{\circ}=\frac{y}{r}=\frac{0}{1}=0$
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