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MathsJEE Main 6 Apr 2026, Shift 1·Q14·MCQ·Easy–moderate

Trigonometry · General solution of trigonometric equations

Let S={θ∈(−2π,2π):cos⁡θ+1=3sin⁡θ}S = \left\{\theta \in (-2\pi, 2\pi) : \cos\theta + 1 = \sqrt3\sin\theta\right\}. Then ∑θ∈Sθ\displaystyle\sum_{\theta\in S}\theta is equal to:
  1. (1)−2π3-\dfrac{2\pi}{3}
  2. (2)−4π3-\dfrac{4\pi}{3}
  3. (3)2π3\dfrac{2\pi}{3}
  4. (4)4π3\dfrac{4\pi}{3}

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See the full 6 Apr 2026, Shift 1 paper