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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In a Δ  ABC,  cosec  A(sin⁡Bcos⁡C+cos⁡Bsin⁡C)\Delta \;ABC,\;\mathrm{cosec}\;A\left( {\sin B\cos C + \cos B\sin C} \right) is equal to
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Correct option: C
1
Option C (1) is correct because the expression simplifies to sin(B+C)/sin(A), and since A+B+C = 180, sin(B+C) = sin(A).

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