Answer
$1$
Work Step by Step
Note that $\csc x=\frac{1}{\sin x}$ and $\cot x=\frac{\cos{x}}{\sin{x}}$
We use the unit circle values to simplify.
Since $\sin{\frac{\pi}{2}}=1, \cos{\frac{\pi}{2}}=0,$ and $\sin{\frac{\pi}{2}}=1$, then:
$\csc \frac{\pi}{2} + \cot \frac{\pi}{2}\\
= \dfrac{1}{ \sin {\frac{\pi}{2}}} + \dfrac{\cos{\frac{\pi}{2}}}{ \sin{\frac{\pi}{2}}} \\
=\dfrac{1}{1}+\dfrac{0}{1}\\
=1+ 0 \\
=1$
