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: 73

Answer

$-3$

Work Step by Step

Need to solve $ 3 \sec 180^{\circ} +5 \tan 360^{\circ}$ In order to solve the given expression we can use Trigonometric table of angles. Therefore, we have: $ 3 \sec 180^{\circ} +5 \tan 360^{\circ}= (3)(-1)+5 [ \tan (270^{\circ}+90^{\circ}] \\= -3+5(-cot 90^{\circ}) \\= -3+(5)(0)\\=-3$
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