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

If cos⁡A=32,\cos A = \frac{\sqrt{3}}{2}, then tan⁡3A=\tan 3A =

A

00

B

1/21/2

C

11

D

∞\infty

Answer

∞\infty

Explanation

Solution

We have cos⁡A=32⇒A=30o\cos A = \frac{\sqrt{3}}{2} \Rightarrow A = 30^{o}⇒ tan⁡3A=tan⁡90o=∞\tan 3A = \tan 90^{o} = \infty.