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$If 0 < θ < π, then minimum value of 3 \sin θ + {cosec}^{3} θ is$

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Correct option is A

Using Arithmetic mean (AM)≥ Geometric mean (GM) sin⁡θ+sin⁡θ+sin⁡θ+cosec3⁡θ4≥sin3⁡θ⋅cosec3⁡θ14⇒3sin⁡θ+cosec3⁡θ≥4 Hence, minimum value of 3sin⁡θ+cosec3⁡θ is 4 Therefore, the correct answer is (1) .

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If 0<θ<π , then minimum value of 3sin⁡θ+cosec3⁡θ is

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$If 0 < θ < π, then minimum value of 3 \sin θ + {cosec}^{3} θ is$