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: 44


$\cos$ 28$^{\circ}$ $\lt$ $\sin $28$^{\circ}$ is false.

Work Step by Step

$\cos$ 28 < $\sin$ 28 We must first get the inequality in terms of $\cos$ $\sin$ $A$ = $\cos$ (90$^{\circ}$ - $A$) Therefore: $\sin$ 28 = $\cos$(90$^{\circ}$ - 28$^{\circ}$) $\sin$ 28 = $\cos$ 62$^{\circ}$ The inequality could be rewritten: $\cos$ 28 < $\cos$ 62 From 0$^{\circ}$ to 90$^{\circ}$, as the angle increases, the $cosine$ of the angle decreases. Therefore: $\cos$ 28$^{\circ}$ $\lt$ $\cos$ 62$^{\circ}$ is false. Therefore: $\cos$ 28$^{\circ}$ $\lt$ $\sin $28$^{\circ}$ is false.
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.