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 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 61: 2

Answer

positive; I; $30^{\circ}$; $\frac{\sqrt 3}{2}$

Work Step by Step

$390^{\circ}$ is coterminal with $390^{\circ}-360^{\circ}=30^{\circ}$. $30^{\circ}$ is in the first quadrant. In the first quadrant, the value of $\cos\theta$ is positive. For the first quadrant, reference angle $\theta'=\theta=30^{\circ}$ $\cos 390^{\circ}=\cos 30^{\circ}=\frac{\sqrt 3}{2}$
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