Question

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

• A. 0
• B. $\frac{1}{2}$
• C. 1
• D. $\infty$

Answer 1

The correct option is D

$\infty$

We have cos A = $\frac{\sqrt{3}}{2}$ $\Rightarrow$ A = ${30}^{\circ }$

$\Rightarrow$ tan 3A = $tan{90}^{\circ }$ = $\infty$.