Mathematics · 2026
JEE Main · 2 April 2026, Shift 1 · Q11
If sin ((π)/18) sin ((5 π)/18) sin ((7 π)/18)= K, then the value of sin ((10 K π)/3) is:
If $\displaystyle \sin \left(\frac{\pi}{18}\right) \sin \left(\frac{5 \pi}{18}\right) \sin \left(\frac{7 \pi}{18}\right)=\mathrm{K}$, then the value of $\displaystyle \sin \left(\frac{10 \mathrm{~K} \pi}{3}\right)$ is :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{\sqrt{3}+1}{2 \sqrt{2}}$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.