If sinP + cosecP = 2, then the value of sin7P + cosec7P is?

Answer: Option B

$$\begin{array}{rl}& \text{sin P}+\text{cosec P}=2\\ & \text{For P}=90^{\circ }\\ & \Rightarrow \text{sin }90^{\circ }+\text{cosec }90^{\circ }=2\\ & \Rightarrow 1+1=2\\ & \Rightarrow 2=2\left(\text{satisfy}\right)\\ & \text{So, }{\sin }^7\text{P}+\text{cose}{\text{c}}^7\text{P}\\ & \Rightarrow {\sin }^{7}90^{\circ }+\text{cose}{\text{c}}^{7}90^{\circ }\\ & \Rightarrow 1^7+1^7\\ & \Rightarrow 2\end{array}$$