Trigonometry (11th Edition) Clone

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

Chapter 2 - Review Exercises - Page 94: 27



Work Step by Step

Step 1: First, we convert the angle in decimal degrees: $78^{\circ}21'=78\frac{21}{60}^{\circ}=78.35^{\circ}$ Therefore, $\csc 78^{\circ}21'=\csc 78.35^{\circ}$. Step 2: Using the reciprocal identity $\csc\theta=\frac{1}{\sin\theta}$, $\csc 78.35=\frac{1}{\sin 78.35}$ Step 3: Now, we check to ensure that the calculator is in degree mode. Step 4: We then type $\frac{1}{\sin 78.35}$ into the calculator. Step 5: Solving, $\frac{1}{\sin 78.35}\approx1.0210339$.
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