If A = 1 2 , then 3A = - Vidyadip

MCQ

If $\tan A = \frac{1}{2},$ then $\tan 3A = $

A
$\frac{9}{2}$
✓
$\frac{{11}}{2}$
C
$\frac{7}{2}$
D
$ - \frac{1}{2}$

✓

Answer

Correct option: B.

$\frac{{11}}{2}$

b
(b) We have $\tan A = \frac{1}{2}$

$ \Rightarrow \tan 3A = \frac{{3\tan A - {{\tan }^3}A}}{{1 - {{3+an }^2}A}} $

$= \frac{{3.\frac{1}{2} - \frac{1}{8}}}{{1 - 3.\frac{1}{4}}} $

$= \frac{{12 - 1}}{2} = \frac{{11}}{2}$.

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