Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Test - Page 172: 9

Answer

$-\frac{\sqrt 3}{3}$

Work Step by Step

As $330^{\circ}$ and $(330^{\circ}-360^{\circ})=-30^{\circ}$ are coterminal, we can write: $\tan 330^{\circ}=\tan(-30^{\circ})$ $\tan (-x)=-\tan x$ $\tan (-30^{\circ})=-\tan 30^{\circ}=-\frac{\sqrt 3}{3}$
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