Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 118: 75

Answer

$(x,y) = (0.44, -0.90)$

Work Step by Step

The radius of the circle is 1. We can find the angle $\theta$: $\theta = s~r$ $\theta = (-7.4)(1)$ $\theta = -7.4~radians$ We can find $x$: $\frac{x}{r} = cos~\theta$ $\frac{x}{1} = cos~\theta$ $x = cos~(-7.4~rad)$ $x = 0.44$ We can find $y$: $\frac{y}{r} = sin~\theta$ $\frac{y}{1} = sin~\theta$ $y = sin~(-7.4~rad)$ $y = -0.90$ $(x,y) = (0.44, -0.90)$
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