Answer
$\theta \approx 0.73+2\pi k;$
$\theta \approx 2.41+2\pi k$
$\theta =\pi k$
Work Step by Step
$3\tan \theta \sin \theta -2\tan \theta =\tan \theta \left( 3\sin \theta -2\right) =0$
$\tan \theta =0\Rightarrow \theta =\tan ^{-1}\left( 0\right) \Rightarrow \theta =\pi k$
$3\sin \theta -2=0\Rightarrow \sin \theta =\dfrac {2}{3}\Rightarrow \theta =\sin ^{-1}\left( \dfrac {2}{3}\right) \Rightarrow \theta \approx 0.73+2\pi k;\theta \approx 2.41+2\pi k$
