Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 13 - The Trigonometric Functions - Chapter Review - Review Exercises - Page 701: 18

Answer

$$\frac{{3\pi }}{2}{\text{radians}}$$

Work Step by Step

$$\eqalign{ & {270^ \circ } \cr & {\text{We know that }}{{\text{1}}^ \circ } = \frac{\pi }{{180}}{\text{radians}}{\text{. }}\left( {{\text{see}}\,\,{\text{page 668}}} \right){\text{ Then}}{\text{,}} \cr & {270^ \circ } = 270\left( {\frac{\pi }{{180}}} \right){\text{radians}} \cr & {\text{Multiplying}} \cr & {270^ \circ } = \frac{{270\pi }}{{180}}{\text{radians}} \cr & {270^ \circ } = \frac{{3\pi }}{2}{\text{radians}} \cr} $$
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