Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Which of the following is/are always true?

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sec⁡B=sec⁡D

cot⁡A+cot⁡C=0

cosec⁡A=cosec⁡C

tan⁡B+tan⁡D=0

answer is B.

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Detailed Solution

Opposite angles of a cyclic quadrilateral are supplementary.