Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.3 - Right Triangle Trigonometry - Exercise Set - Page 562: 61


$\theta=\sin^{-1} (\dfrac{opposite}{hypotenuse})$

Work Step by Step

The trigonometric ratios are as follows: $ \sin \theta =\dfrac{opposite}{hypotenuse} $ Suppose $\theta =\sin^{-1} [\dfrac{opposite}{hypotenuse} ]$ Now, $\sin \theta =\sin [\sin^{-1} (\dfrac{opposite}{hypotenuse})]$ Thus, we have $\theta=\sin^{-1} (\dfrac{opposite}{hypotenuse})$
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