## Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley

# Chapter 7 - Trigonometry and Periodic Functions - 7.2 The Sine and Cosine Functions - Exercises and Problems for Section 7.2 - Exercises and Problems - Page 277: 17

#### Answer

$(3.742,-0.660)$

#### Work Step by Step

It is known that the coordinate on the $x$-$y$ plane for an angle $\theta$ from the horizontal and a radius $r$ is $(rcos\theta,rsin\theta)$. Using $r=3.8$ and $\theta=-10^\circ$ gives a point $$(3.8cos(-10^\circ),3.8sin(-10^\circ))=(3.742,-0.660)$$ (Use a calculator to estimate those values. Make sure the calculator is on degree mode.)

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