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MathsJEE Main 2 Apr 2026, Shift 1·Q12·MCQ·Moderate

Trigonometry · Trigonometric equations in an interval

Let S={x∈[−π,π]:sin⁡x (sin⁡x+cos⁡x)=a, a∈Z}S = \{x \in [-\pi, \pi] : \sin x\,(\sin x + \cos x) = a,\ a \in \mathbb{Z}\}. Then n(S)n(S) is equal to:
  1. (1)3
  2. (2)6
  3. (3)7
  4. (4)9

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