Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 5 - Review - Exercises - Page 463: 7

Answer

(a) $\frac{\sqrt 2}{2}$ (a) $-\frac{\sqrt 2}{2}$

Work Step by Step

1. Find the reference number for t = $3\pi/4$ $$t^- = \pi - \frac{3\pi}{4} = \frac{\pi}{4}$$ 2. Use table 1 (page 404), we can see that the terminal point for that reference number is: $(\frac{\sqrt 2 }{2}, \frac{\sqrt 2}{2})$ 3. Since $3\pi/4$ is in Quadrant II, x is negative and y is positive: Terminal point = $(-\frac{\sqrt 2 }{2}, \frac{\sqrt 2}{2})$ $sin \space t = y = \sqrt 2/2$ and $cos \space t = x = -\sqrt 2/2$
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