then the value of | Trigonometric Ratios | JEE Mains 2026

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Question

If $\sin \left(\frac{\pi}{18}\right) \sin \left(\frac{5 \pi}{18}\right) \sin \left(\frac{7 \pi}{18}\right)=K$, then the value of $\sin \left(\frac{10 K \pi}{3}\right)$ is

Select the correct option:

A

$\frac{\sqrt{3}+1}{2 \sqrt{2}}$

B

$\frac{\sqrt{3}-1}{\sqrt{2}}$

C

$\frac{\sqrt{3}}{2}$

D

$\frac{1}{2}$

✓ Correct! Well done.

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