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Questions  

In a cyclic quadrilateral ABCD, the value of cosA+cosB+cosC+cosD is 

a
1
b
0
c
-1
d
none of these

detailed solution

Correct option is B

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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lf A,B,C and D are the angles of a cyclic quadrilateral, then cos A + cos B + cos C + cos D is equal to


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