If tan x = 3 cot x then x = ?


If tan = 3 cot x then = ?
(a) 60°
(b) 45°
(c) 30°
(d) 15°


Given: tan= 3cotx

$\tan x=3 \cot x$

$\Rightarrow \tan x=3 \frac{1}{\tan x} \quad\left(\because \cot x=\frac{1}{\tan x}\right)$

$\Rightarrow \tan ^{2} x=3$

$\Rightarrow \tan x=\sqrt{3}$

$\Rightarrow x=60^{\circ} \quad\left(\because \tan 60^{\circ}=\sqrt{3}\right)$

Hence, the correct option is (a).



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