Question

Solve for $4{\tan }^{3}x-3\tan x=0$

Answer 1

Consider given the equation,

$4{\tan }^{3}x-3\tan x=0$

$\tan x(4{\tan }^{2}x-3)=0$

When,

$\tan x=0$

$\tan x=\tan 0$

$x=0$

When,

$4{\tan }^{2}x-3=0$

${\tan }^{2}x=\frac{3}{4}$

$\tan x=\frac{\sqrt{3}}{2}$

$x={\tan }^{-1}\frac{\sqrt{3}}{2}$

Hence, this is the answer.