Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding: 58

Answer

$-135^{\circ}$

Work Step by Step

Recall that $2\pi\text{ radians}=360^\circ$, hence $1 \text{ radian} = \dfrac{180^\circ}{\pi}$. Therefore: $\dfrac{-3\pi}{4}=\dfrac{-3\pi}{4}\cdot\dfrac{180^\circ}{\pi}=-135^{\circ}$
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