Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 610: 59

Answer

a. See graph. b. $t=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}$; the light beam is parallel to the wall.
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Work Step by Step

a. See graph. b. The function will be undefined if $2\pi t=k\pi+\frac{\pi}{2}$ which gives $t=\frac{k}{2}+\frac{1}{4}$ where $k$ is an integer which gives $t$ in the interval of $[0,2]$. We can find that $t=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}$ when the function is undefined which means that the light beam is parallel to the wall.
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