Trigonometry (11th Edition) Clone

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 67: 63

Answer

$68^{\circ};112^{\circ}$

Work Step by Step

Using degree mode and inverse sine function, we get $\theta=\sin^{-1}0.92718385=68^{\circ}$ Another possible value of $\theta$ can be found by using the identity $\sin(180^{\circ}-x)=\sin x$ $\implies \sin 68^{\circ}=\sin(180-68)^{\circ}=\sin 112^{\circ}$ $\implies\sin^{-1}0.92718385=68^{\circ}$ or $112^{\circ}$
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