Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 13 - The Trigonometric Functions - 13.1 Definitions of the Trigonometric Functions - 13.1 Exercises - Page 678: 27

Answer

$sin 60^\circ =\frac{\sqrt 3}{2}$ $cot 60^\circ =\frac{1}{\sqrt 3}$ $csc 60^\circ =\frac{2}{\sqrt 3}$

Work Step by Step

From the table we have the following information: $cos 60^\circ=\frac{1}{2}$ $tan 60^\circ=\sqrt 3$ $sec 60^\circ =2$ $\theta$ (in radians) $=\frac{\pi}{3}$ then, using the elementary trigonometric identities we obtain: $sin 60^\circ =\frac{\sqrt 3}{2}$ $cot 60^\circ =\frac{1}{\sqrt 3}$ $csc 60^\circ =\frac{2}{\sqrt 3}$
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