Question

Solve the equation $\tan 6\theta -\tan 4\theta =0$

Answer 1

$\tan 6\theta -\tan 4\theta =0$

$\Rightarrow \tan 6\theta =\tan 4\theta$

$\Rightarrow 6\theta =n\pi +4\theta$

$\Rightarrow 6\theta -4\theta =n\pi$

$\Rightarrow 2\theta =n\pi$

$\therefore \theta =\frac{n\pi }{2},n\in I$