Mathematics · 2022
JEE Main · 26 July 2022, Shift 2 · Q16
If 0<x<1/(√ 2) and (sin^-1 x)/(α)=(cos^-1 x)/(β), then a value of sin ((2 π α)/(α+β)) is
If $\displaystyle 0<x<\frac{1}{\sqrt{2}}$ and $\displaystyle \frac{\sin ^{-1} x}{\alpha}=\frac{\cos ^{-1} x}{\beta}$, then a value of $\displaystyle \sin \left(\frac{2 \pi \alpha}{\alpha+\beta}\right)$ is
Official answer
(2)
$\displaystyle 4 x \sqrt{\left(1-x^2\right)}\left(1-2 x^2\right)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.