Q.

In a cyclic quadrilateral ABCD, the value of cos⁡A+cos⁡B+cos⁡C+cos⁡D is

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a

1

b

0

c

-1

d

none of these

answer is B.

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Detailed Solution

In cyclic quadrilateral ABCD, we haveA+C=π and B+D=π∴ cos⁡A=−cos⁡C and cos⁡B=−cos⁡D⇒ cos⁡A+cos⁡B+cos⁡C+cos⁡D=0
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In a cyclic quadrilateral ABCD, the value of cos⁡A+cos⁡B+cos⁡C+cos⁡D is