Mathematics · 2022
JEE Main · 30 June 2022, Shift 1 · Q10
Let m and M respectively be the minimum and the maximum values of f(x)= sin^-1 2 x+ sin 2 x+ cos^-1 2 x+ cos 2 x, x ∈[0, (π)/8]. Then m + M is equal…
Let $\displaystyle m$ and $\displaystyle M$ respectively be the minimum and the maximum values of $\displaystyle f(x)=\sin ^{-1} 2 x+\sin 2 x+\cos ^{-1} 2 x+\cos 2 x, x \in\left[0, \frac{\pi}{8}\right]$. Then $\displaystyle \mathrm{m}+\mathrm{M}$ is equal to :
Official answer
(1)
$\displaystyle 1+\sqrt{2}+\pi$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.