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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If A+B+C=πA+B+C=\pi, then ∣sin⁡(A+B+C)sin⁡Bcos⁡B−sin⁡B0tan⁡Acos⁡(A+C)−tan⁡A0∣=\left|\begin{array}{ccc} \sin (A+B+C) & \sin B & \cos B \\ -\sin B & 0 & \tan A \\ \cos (A+C) & -\tan A & 0 \end{array}\right|=
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Correct option: A
0
Option A (1) is correct because the given condition sin⁡x+sin⁡2x=1\sin x + \sin^2 x = 1 leads to sin⁡x=cos⁡2x\sin x = \cos^2 x, which simplifies the expression to 1.

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