Question

$3\tan ^3\left(A\right)-\tan \left(A\right)=0,\:A\in \left[0,\:360\right]$

solve @RockstarPratheek

Answer 1

$\mathrm{Let:\:}\tan \left(A\right)=u$

$3u^3-u=0$

$3u^3-u=0\quad :\quad u=0,\:u=-\frac{\sqrt{3}}{3},\:u=\frac{\sqrt{3}}{3}$

$\tan \left(A\right)=0,\:\tan \left(A\right)=-\frac{\sqrt{3}}{3},\:\tan \left(A\right)=\frac{\sqrt{3}}{3}$

$\tan \left(A\right)=0,\:\tan \left(A\right)=-\frac{\sqrt{3}}{3},\:\tan \left(A\right)=\frac{\sqrt{3}}{3}$

$\tan \left(A\right)=-\frac{\sqrt{3}}{3},\:0\le \:A\le \:360^{\circ \:}\quad :\quad A=150^{\circ \:},\:A=330^{\circ \:}$

$\tan \left(A\right)=\frac{\sqrt{3}}{3},\:0\le \:A\le \:360^{\circ \:}\quad :\quad A=30^{\circ \:},\:A=210^{\circ \:}$

$A=0,\:A=180^{\circ \:},\:A=360^{\circ \:},\:A=150^{\circ \:},\:A=330^{\circ \:},\:A=30^{\circ \:},\:A=210^{\circ \:}$

Answer 2

Explanation:

$refer \: to \: the \: attachment$