$\sin{\theta} + \cos{e} c \theta = 2$ হলে,   $\sin^{n}{\theta} + \cos{e} c^{n} \theta$ এর মান কত? 

$\sin \theta+\operatorname{cosec} \theta=2$

$\begin{array}{l} \sin \theta+\frac{1}{\sin \theta}=2 \\ \text { n, } \sin ^{2} \theta+1=2 \sin \theta \\ \text { n, } \sin ^{2} \theta-2 \sin \theta+1=0 \\ \pi,(\sin \theta-1)^{2}=0 \\ \pi, \sin \theta=1 \quad \text { ori } \operatorname{cosec} \theta=1 \\ \text { ns } \sin ^{n} \theta+\operatorname{cosec}^{n} \theta=1^{n}+1^{n}=1+1=2 \end{array}$