MathsJEE Main 21 Jan 2026, Shift 2·Q23·Numerical·Moderate

Inverse Trigonometry · Extreme values of inverse trigonometric expressions

Let the maximum value of

(\sin^{-1}x)^2 + (\cos^{-1}x)^2

for

x \in \left[-\dfrac{\sqrt3}{2}, \dfrac{1}{\sqrt2}\right]

\dfrac{m}{n}\pi^2

, where

\gcd(m, n) = 1

. Then

m + n

is equal to .

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