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 66: 27

Answer

$\frac{1}{\csc(90 - 51)}$ = 0.62932039

Work Step by Step

$\frac{1}{\csc(90 - 51)}$ Given the identity $\csc$(90$^{\circ}$ - $\theta$) = $\sec$$\theta$ $\csc$(90$^{\circ}$ - 51$^{\circ}$) = $\sec$ 51$^{\circ}$ Therefore: $\frac{1}{\csc(90 - 51)}$ = $\frac{1}{\sec 51}$ Given the identity $\frac{1}{\sec\theta}$ = $\cos$ $\theta$ $\frac{1}{\sec 51}$ = $\cos$ 51$^{\circ}$ $\cos$ 51$^{\circ}$ = 0.62932039 Therefore: $\frac{1}{\csc(90 - 51)}$ = 0.62932039
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.