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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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If y=sin⁡2θ+cosec⁡2θ,θ≠0y=\sin ^2 \theta+\operatorname{cosec}^2 \theta, \theta \neq 0, then
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Correct option: D
y≥2y \geq 2
Option D (y≥2y \geq 2) is correct because the minimum value of sin⁡2θ+csc⁡2θ\sin^2 \theta + \csc^2 \theta is 2, which occurs when sin⁡2θ=1\sin^2 \theta = 1.

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