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 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises - Page 54: 40


$\theta$ = 35$^{\circ}$

Work Step by Step

$\csc$($\theta$ + 40$^{\circ}$) = $\sec$($\theta$ - 20$^{\circ}$) $\sin$ and $\cos$ are cofunctions of each other assuming that the sum of the angles equals 90$^{\circ}$ ($\theta$ + 40$^{\circ}$) + ($\theta$ - 20$^{\circ}$) = 90$^{\circ}$ 2$\theta$ + 20$^{\circ}$ = 90$^{\circ}$ 2$\theta$ = 70$^{\circ}$ $\theta$ = 35$^{\circ}$
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.