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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If 12cosec⁡2θ,2cot⁡θ,sec⁡θ,0<θ<π2\frac{1}{2} \operatorname{cosec}^2 \theta, 2 \cot \theta, \sec \theta, 0<\theta<\frac{\pi}{2} are in GP, then θ\theta is equal to
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Correct option: C
π3\frac{\pi}{3}
Option C (π3\frac{\pi}{3}) is correct because solving the GP condition leads to cos⁡θ=12\cos \theta = \frac{1}{2}, which corresponds to θ=π3\theta = \frac{\pi}{3}.

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