ABCD is a cyclic quadrilateral then what is the value of cosA+cosB+cosC+cosD
Answers
Answered by
2
Hi I think answer is zero.
For a cyclic quadrilateral, A = 180-C and B = 180- D.
Therefore
cos A + cos B + cos C + cos D
= cos (180-C) + cos (180-D) + cos C + cos D
= - cos C - cos D + cos C + cos D
=0.
Hope this helps.
For a cyclic quadrilateral, A = 180-C and B = 180- D.
Therefore
cos A + cos B + cos C + cos D
= cos (180-C) + cos (180-D) + cos C + cos D
= - cos C - cos D + cos C + cos D
=0.
Hope this helps.
Similar questions