When does $\arcsin^2x+\arccos^2x=1$ for $x$ real or comlex? let $\arcsin$ is the compositional inverse of $\sin$ and $\arccos$ the compositional inverse of $\cos$ , my question here is it possible to find $x$ for which : $\arcsin^2x+ \arccos^2x=1$.
Note: $x$ is a real number or complex 

Hint:
$$2(a^2+b^2)-(a+b)^2=(a-b)^2\ge0$$ for real $a-b$
