Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.2 - Trigonometric Functions of Real Numbers - 5.2 Exercises - Page 417: 25

Answer

$sin(\pi) = 0$ $cos(\pi) = -1$ $tan(\pi) = 0$ $csc(\pi) = undefined$ $sec(\pi) = -1$ $cot(\pi) = undefined$

Work Step by Step

1. Find a Reference Number. $t^- = \pi - \pi = 0$ 2. See Table 1 (Page 410), it contains all the values for the trigonometric functions when $t = 0$. $sin(0) = 0$ $cos(0) = 1$ $tan(0) = 0$ $csc(0) = undefined$ $sec(0) = 1$ $cot(0) = undefined$ 3. Since $\pi$ is in Quadrant II, cos($\pi$) and sec($\pi$) are negative. $sin(\pi) = 0$ $cos(\pi) = -1$ $tan(\pi) = 0$ $csc(\pi) = undefined$ $sec(\pi) = -1$ $cot(\pi) = undefined$
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