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: 16

Answer

(a) 1 (b) 0 (c) undefined.

Work Step by Step

$-\frac{3\pi}{2}$ is coterminal with $-\frac{3\pi}{2}+2\pi=\frac{\pi}{2}$. Coterminal angles intersects the unit circle at the same point. An angle of $\frac{\pi}{2}$ radians intersects the unit circle at the point $(0,1)$. So is the angle $-\frac{3\pi}{2}$. (a) $\sin s= y= 1$ (b) $\cos s=x=0$ (c) $\tan s=\frac{y}{x}=\frac{1}{0}$ is undefined.
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