Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 117: 1

Answer

(a) $\sin{\frac{\pi}{2}} = 1$ (b) $\cos{\frac{\pi}{2}}=0$ (c) $\tan{\frac{\pi}{2}} \text{ is undefined}$

Work Step by Step

RECALL: In a unit circle, $\sin{s} = y \\\cos{s} = x \\\tan{s} =\frac{y}{x}$ The angle $\frac{\pi}{2}$ intersects the unit circle at the point $(0, 1)$. Thus, (a) $\sin{\frac{\pi}{2}} = 1$ (b) $\cos{\frac{\pi}{2}}=0$ (c) $\tan{\frac{\pi}{2}} = \frac{1}{0}, \text{ is undefined}$
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