Question

Solve the general solution for 4tan2 u − 1 = tan2 u

Answer 1

Answer:

$4 \tan {}^{2} u - 1 = \tan {}^{2} u$

$3 \tan{}^{2} = 1$

$\tan {}^{2} u = \frac{1}{3}$

$\tan \: u \: = + \frac{1}{ \sqrt{3} }$

$or \: \tan \: u \: = - \frac{1}{ \sqrt{3} }$

$\tan \: u \: = \frac{ \sqrt{3} }{3}$

$or \: \tan \: u \: = - \frac{ \sqrt{3} }{3}$

hope it will help you....