Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.1 - The Unit Circle - 5.1 Exercises - Page 408: 50

Answer

(a) Referencial Number: $\pi/4$ (b) Terminal Point: $(\sqrt 2/2, \sqrt 2/2)$

Work Step by Step

1. $17\pi/4 \gt 2\pi$. Subtract $2\pi$ from it until the result is less than $2\pi$. $$\frac{17\pi}{4} - 2\pi = \frac{17\pi}{4} -\frac{8\pi}{4} = \frac{9\pi}{4}$$ $$\frac{9\pi}{4} - 2\pi = \frac{\pi}{4}$$ 2. $\pi/4$ is in Quadrant I, thus, the Reference Number is $\pi/4$: $$t^- = \pi/4$$ 3. According to the Table 1, the terminal point for $\pi/4$ is $(\sqrt 2/2, \sqrt 2/2)$.
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