JEE Main 202621 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002Let the maximum value of (sin−1x)2+(cos−1x)2(\sin^{-1}x)^2+(\cos^{-1}x)^2(sin−1x)2+(cos−1x)2 for x∈[−32,12]x\in\left[-\frac{\sqrt3}{2}, \frac{1}{\sqrt2}\right]x∈[−23,21] be mnπ2\frac{m}{n}\pi^2nmπ2, where gcd(m,n)=1\gcd(m, n)=1gcd(m,n)=1. Then m+nm+nm+n is equal to ______.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution