Trigonometric Identities Question 292

Question: If $ \cos A=\frac{\sqrt{3}}{2}, $ then $ \tan 3A= $

Options:

A) $ 0 $

B) $ 1/2 $

C) $ 1 $

D) $ \infty $

Show Answer

Answer:

Correct Answer: D

Solution:

We have $ \cos A=\frac{\sqrt{3}}{2}\Rightarrow A=30^{o} $
Þ $ \tan 3A=\tan 90^{o}=\infty $ .