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: 51

Answer

(a) Reference Number: $\pi/3$ (b) Terminal Point: $(1/2, \sqrt 3/2)$

Work Step by Step

1. $-11\pi/3 \lt 0$. Add $2\pi$ to it until the result is less than $2\pi$, and greater than 0. $$-\frac{11\pi}{3} + 2\pi = -\frac{11\pi}{3} + \frac{6\pi}{3} = -\frac{5\pi}{3}$$ $$-\frac{5\pi}{3} + 2\pi = \frac{\pi}{3}$$ 2. $\pi/3$ is in Quadrant I, thus, the Reference Number is $\pi/3$: $$t^- = \pi/3$$ 3. According to the Table 1, the terminal point for $\pi/3$ is $(1/2, \sqrt 3/2)$.
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