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Let the maximum value of sin 1 x 2 cos 1 x 2 for x in frac : null (Mathematics) | DivineJEE

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Mathematics

JEE Mains 2026 21st January Shift 2

Mathematics

Let the maximum value of

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

for

x \in\left[-\frac{\sqrt{3}}{2}, \frac{1}{\sqrt{2}}\right]

be

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

, where

\operatorname{gcd}(m, n)=1.

Then

\mathrm{m}+\mathrm{n}

is equal to

\_\_\_\_

.

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