Mathematics - Trigonometric Equation Question with Solution | TestHub

$\frac{1}{\sin \theta }=\frac{1}{\sin 2\theta }+\frac{1}{\sin 3\theta }$

$\frac{1}{\sin \theta }=\frac{\sin 3\theta +\sin 2\theta }{\sin 2\theta \sin 3\theta }$

$\sin 2\theta \sin 3\theta =\sin \theta (\sin 3\theta +\sin 2\theta )$

$2\sin \theta \cos \theta \sin 3\theta =\sin \theta (\sin 3\theta +\sin 2\theta )$

$\sin 4\theta +\sin /2\theta =\sin 3\theta +\sin 2\theta$ $4\theta =\pi -3\theta$

$7\theta =\pi$

n= 7