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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If sin⁡θ+cosec⁡θ=2\sin \theta+\operatorname{cosec} \theta=2, the value of sin⁡10θ+cosec⁡10θ\sin ^{10} \theta+\operatorname{cosec}^{10} \theta is
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Correct option: A
2
Option A (2) is correct because if sin⁡θ+cosec⁡θ=2\sin \theta + \operatorname{cosec} \theta = 2, then sin⁡θ=1\sin \theta = 1, and thus sin⁡10θ+cosec⁡10θ=110+110=2\sin^{10} \theta + \operatorname{cosec}^{10} \theta = 1^{10} + 1^{10} = 2.

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