Trigonometry 7th Edition

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

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set - Page 71: 46


$\sin 35^{\circ}10′$ = 0.5760

Work Step by Step

First we will convert $35^{\circ}10′$ to decimal degrees, let's break it as- $35^{\circ}10′$ = $35^{\circ}$ + $10′$ Now on dividing 10′ by 60, we have the number of "decimal degrees" equivalent to 10′ (as $1^{\circ}$=60′) Therefore $35^{\circ}10′$ = $35^{\circ} + (\frac{10}{60})^{\circ}$ $35^{\circ}10′$ = $35^{\circ} + 0.1667^{\circ}$ $35^{\circ}10′$= $35.1667^{\circ}$ Now Using calculator in degree mode- $\sin 35.1667^{\circ}$ = 0.5759572986 Rounding it to four places past the decimal point- $\sin 35.1667^{\circ}$ = 0.5760 Therefore- $\sin 35^{\circ}10′$ = 0.5760
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