Math, asked by aryan9167, 1 year ago

if A,B,C, AND D are angles of a cyclic quadrilaterals, than prove that :-
1. cosA + cosB +cos C+cos D=0

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Answered by ranjitsingh020pbuo8j
3
According to property of cyclic quadrilateral,
opposite angles have sum equal to 180 degrees.
Now,A+B+C+D=360
and A +C=B+D=180
now cos(A+B)=180
and cos(B+D)=180
Since,cos 180 is 0.
So,cosA+cosB+cosC+cosD=0

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aryan9167: question no. 3 ka bhi answer do na please
Answered by SaumilGupta3344
2

In cyclic quadrilateral opposite angles are supplementary

Cos A + cos B + cos C +cos D = 0

A+C=B+D=180

(Cos A + cos B= 0 if A+B=180)

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