Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.3 - Trigonometric Functions of Any Angle - 6.3 Exercises - Page 454: 53

Answer

$\sin 750^{\circ}=\frac{1}{2}$, $\cos 750^{\circ}=\frac{\sqrt 3}{2}$ $\tan 750^{\circ}=\frac{\sqrt 3}{3}$

Work Step by Step

$750^{\circ}=[750-(360\times2)]^{\circ}=30^{\circ}$ $30^{\circ}$ is coterminal with $750^{\circ}$. $\implies \sin 750^{\circ}=\sin 30^{\circ}=\frac{1}{2}$, $\cos 750^{\circ}=\cos 30^{\circ}=\frac{\sqrt 3}{2},$ $\tan 750^{\circ}=\tan 30^{\circ}=\frac{\sqrt 3}{3}$
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