Trigonometry 7th Edition

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

Chapter 1 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 45: 8

Answer

$±\sqrt (1 - \cos^{2}\theta)$

Work Step by Step

Lets begin with first Pythagorean identity- $ \sin^{2}\theta + \cos^{2}\theta$ = 1 Subtracting $\cos^{2}\theta$ from both the sides- $ \sin^{2}\theta = 1 - \cos^{2}\theta$ taking square root, the equation becomes- $ \sin\theta = ±\sqrt (1 - \cos^{2}\theta)$
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