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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
If sin⁡θ+cosec⁡θ=2\sin \theta+\operatorname{cosec} \theta=2, then sin⁡nθ+cosec⁡nθ\sin ^n \theta+\operatorname{cosec}^n \theta is equal to
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Correct option: A
2
Option A (2) is correct because if sin(theta) + cosec(theta) = 2, then sin(theta) = 1, and therefore sin^n(theta) + cosec^n(theta) = 1 + 1 = 2.

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