Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.1 Fundamental Identities - 7.1 Exercises: 14

Answer

$\sin \theta =-\dfrac {3}{\sqrt {10}}$

Work Step by Step

$\sin \theta =\pm \dfrac {1}{\sqrt {1+\cot ^{2}\theta }}=\pm \dfrac {1}{\sqrt {1+\left( -\dfrac {1}{3}\right) ^{2}}}=\pm \dfrac {3}{\sqrt {10}}$ In quadrant 4 sine function is negative so $\sin \theta =-\dfrac {3}{\sqrt {10}}$
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