The value of ( ^271/2^ + ^2821/2^ ) is?

Answer: Option A

$$\begin{array}{rl}& \text{If A + B}=90^{\circ }\\ & \text{Then,}{\sin }^2\text{A + }{\sin }^2\text{B}=1\\ & \Rightarrow 7{\frac{1}{2}}^{\circ }+82{\frac{1}{2}}^{\circ }\\ & \Rightarrow 90^{\circ }\\ & \Rightarrow 1\left[\text{sin }{90}^{\circ }=1\right]\end{array}$$