Question

Solve :- $3{\text{cosec}}^2\theta =4$

Answer 1

${\text{cosec}}^2\theta =\frac{4}{3}$
$⟹{\sin }^2\theta =\frac{3}{4}$
$⟹{\sin }^2\theta ={\sin }^2\frac{\pi }{3}$
$⟹\theta =n\pi \pm \frac{\pi }{3}$ $(n\in Z)$