YESPYQ Start Practice
🛠️ JEE➗ Maths

If \(K=\sin \left(\frac{\pi }{18}\right)\sin \left(\frac{5\pi }{18}\right)\sin \left(\frac{7\pi }{18}\right)\), then the…

Q1

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

[JEE Main 2026, 2 Apr (Shift 1)]

a

\(\frac{\sqrt{3}+1}{2\sqrt{2}}\)

b

\(\frac{\sqrt{3}-1}{\sqrt{2}}\)

c

\(\frac{\sqrt{3}}{2}\)

d

\(\frac{1}{2}\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Trigonometric Functions, or browse the full JEE question bank.

See all questions on Trigonometric Functions →