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: 33

Answer

($\frac{\sqrt 2}{2}$, $\frac{\sqrt 2}{2}$)

Work Step by Step

If you look at the unit circle, you cannot locate $\frac{-7\pi}{4}$. You have to add 2$\pi$, a full unit circle rotation, to it. You end up with $\frac{\pi}{4}$, an angle that's coterminal to $\frac{-7\pi}{4}$ and is between 0 and 2$\pi$. Look at the unit circle and find its corresponding terminal point.
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