Find the general solution of ${tan}^{3} x - 3 tan x = 0$ .

Open in App

Solution

$t a n^{3} x - 3 t a n x = 0$
$∴ t a n (t a n^{2} x - 3) = 0$
$∴ t a n x = 0$ OR $t a n^{2} x = 3$
$∴ x = 0, π$ OR $x = (π / 3, - π / 3)$
$∴ (x = n π)$ OR $x = (n π \neq π / 3)$

Suggest Corrections

Similar questions

Find the general solutions of $3 t a n \frac{x}{2} + 3 = 0$

x

{sin}^{2} x . sec x + \sqrt{3} tan x = 0

\frac{tan 3 x - tan 2 x}{1 + tan 3 x tan 2 x} = 1

t a n 3 x = \frac{3 t a n x - t a n^{3} x}{1 - 3 t a n^{2} x}

t a n x + t a n 2 x + t a n 3 x = t a n x . t a n 2 x . t a n 3 x

n \prod

Join BYJU'S Learning Program