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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If A, B, C, D\mathrm{A,}\,\mathrm{B,}\,\mathrm{C,}\,\mathrm{D} are the angles of a cyclic quadrilateral, then cos⁑  A+cos⁑  B+cos⁑  Dβ€…β€Š\cos \,\,A + \cos \,\,B + \cos \,\,D\; is equal to
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Correct option: D
0\mathrm{0}
Option D (0) is correct because in a cyclic quadrilateral, opposite angles are supplementary, leading to cos⁑A+cos⁑C=0\cos A + \cos C = 0 and cos⁑B+cos⁑D=0\cos B + \cos D = 0, thus the sum is 0.

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