Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.2 Trigonometric Functions - 5.2 Exercises - Page 519: 75

Answer

$5$

Work Step by Step

Need to solve $ \tan 360^{\circ} +4 \sin 180^{\circ}+5 \cos^2 180^{\circ}$ In order to solve the given expression we can use Trigonometric table of angles. Now, $\tan 360^{\circ} =\tan (270^{\circ}+90^{\circ}] =-\cot 90^{\circ} =0$ Therefore, we have: $ \tan 360^{\circ} +4 \sin 180^{\circ}+5 \cos^2 180^{\circ} = 0 +4(0)+(5)(-1)^2 =5$
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