Answer
See graph and explanations.
Work Step by Step
Step 1. We can graph $y=sin^{-1}x+cos^{-1}x$ as shown in the figure.
Step 2. It appears that the sum of the inverse sine and inverse cosine for values between -1 and 1 inclusive has a constant value of $\frac{\pi}{2}$. That is, $y=sin^{-1}x+cos^{-1}x=\frac{\pi}{2}$, where $x\in[-1,1]$
