If `f(x)={m x+1,xlt=pi/2,sinx+n ,x >pi/2` is continuous at `x=pi/2,` then

Explanation

To determine the values of \( m \) and \( n \) such that the function

\[
f(x) =
\begin{cases}
mx + 1 & \text{if } x \leq \frac{\pi}{2} \\
\sin x + n & \text{if } x > \frac{\pi}{2}
\end{cases}
...