Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 47: 97

Answer

(b). ± $ \frac{\sin\theta}{\sqrt (1-\sin^{2}\theta)}$

Work Step by Step

From ratio identity- $\tan\theta$ = $ \frac{\sin\theta}{\cos\theta}$ $\tan\theta$ = ± $ \frac{\sin\theta}{\sqrt (1-\sin^{2}\theta)}$ [From Pythagorean identity, $\cos\theta$ can be written as ± $\sqrt (1-\sin^{2}\theta)$] Thus option 'b' is correct
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