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: 52

Answer

$\sec 84^{\circ}48′$ = 11.0336

Work Step by Step

First we will convert $84^{\circ}48′$ to decimal degrees, let's break it as- $84^{\circ}48′$ = $84^{\circ}$ + $48′$ Now on dividing 48′ by 60, we have the number of "decimal degrees" equivalent to 48′ (as $1^{\circ}$=60′) Therefore $84^{\circ}48′$ = $84^{\circ} + (\frac{48}{60})^{\circ}$ $84^{\circ}48′$ = $84^{\circ} + 0.8^{\circ}$ $84^{\circ}48′$ = $84.8^{\circ}$ Now Using calculator in degree mode- $\cos 84.8^{\circ}$ = 0.0906325802 $\sec 84.8^{\circ}$ = 11.033559872 (Using $\frac{1}{x}$ key on calculator) Rounding it to four places past the decimal point- $\sec 84.8^{\circ}$ = 11.0336 Therefore- $\sec 84^{\circ}48′$ = 11.0336
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.