Trigonometry (11th Edition) Clone

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

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 123: 15

Answer

(a) 0 (b) -1 (c) 0

Work Step by Step

$-\pi$ is coterminal with $-\pi+2\pi=\pi$. Coterminal angles intersects the unit circle at the same point. An angle of $\pi$ radians intersects the unit circle at the point $(-1,0)$. So is the angle $-\pi$. (a) $\sin s= y= 0$ (b) $\cos s=x=-1$ (c) $\tan s=\frac{y}{x}=\frac{0}{-1}=0$
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