A, B, C, D are successive vertices of a cyclic quadrilateral. prove that tan(a+b) + tan(c+d) =0
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I'm using quadrilateral concept
Sum of all angles of a quadrilateral is 360
A+B+C+D = 360
Thus C+D = 360-(A+B)
tan(C+D) = tan (360-(A+B))
tan (360 - theta) = -tan theta
So tan(A+B) + tan(C+D) = tan(A+B) - tan(A+B) = 0
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answer is 0
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