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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If 1+sin⁡θ+sin⁡2θ+……∞=4+23,0<θ<π,θ≠π21+\sin \theta+\sin ^2 \theta+\ldots \ldots \infty=4+2 \sqrt{3}, 0 < \theta < \pi, \theta \neq \frac{\pi}{2}, then
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Correct option: D
θ=π3\theta=\frac{\pi}{3} or 2π3\frac{2 \pi}{3}
Option D (θ=π3\theta=\frac{\pi}{3} or 2π3\frac{2 \pi}{3}) is correct because these are the solutions to the equation derived from the infinite geometric series, within the given interval.

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