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MathsJEE Main 2 Apr 2026, Shift 1·Q11·MCQ·Easy–moderate

Trigonometry · Product of sines

If sin⁡(π18)sin⁡(5π18)sin⁡(7π18)=K\sin\left(\dfrac{\pi}{18}\right)\sin\left(\dfrac{5\pi}{18}\right)\sin\left(\dfrac{7\pi}{18}\right) = K, then the value of sin⁡(10Kπ3)\sin\left(\dfrac{10K\pi}{3}\right) is:
  1. (1)3+122\dfrac{\sqrt3 + 1}{2\sqrt2}
  2. (2)3−12\dfrac{\sqrt3 - 1}{\sqrt2}
  3. (3)32\dfrac{\sqrt3}{2}
  4. (4)12\dfrac12

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See the full 2 Apr 2026, Shift 1 paper