SOLUTION —
On squaring given equation, we get
$\Rightarrow \quad \begin{aligned}\sin ^2 \theta+\operatorname{cosec}^2 \theta+2 & =4 \\\Rightarrow \quad \sin ^2 \theta+\operatorname{cosec}^2 \theta & =2\end{aligned}$
So, The correct option will be (C).