Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Test - Page 46: 15

Answer

$\theta = \frac{3\pi}{2}$ We can find the values of the six trigonometric functions: $sin ~\theta = -1$ $cos ~\theta = 0$ $tan ~\theta~~$ is undefined $csc ~\theta = -1$ $sec ~\theta~~$ is undefined $cot ~\theta = 0$
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Work Step by Step

$x = 0$ $y = -2$ $\theta = \frac{3\pi}{2}$ We can find the values of the six trigonometric functions: $sin ~\theta = sin~\frac{3\pi}{2} = -1$ $cos ~\theta =cos~\frac{3\pi}{2} = 0$ $tan ~\theta = \frac{sin~\frac{3\pi}{2} }{cos~\frac{3\pi}{2}}~~$ which is undefined $csc ~\theta = \frac{1}{sin~\frac{3\pi}{2}} = -1$ $sec ~\theta = \frac{1}{cos~\frac{3\pi}{2}}~~$ which is undefined $cot ~\theta = \frac{cos~\frac{3\pi}{2} }{sin~\frac{3\pi}{2}} = 0$
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