Question

prove that tan(b-c)+tan(c-a)+tan(a-b)=tan(b-c) tan(c-a) tan(a-b).

Answer 1

Let A - B = P , B-A = Q  and C-A = R
So P + Q + R  =  0

Hence tan(P + Q ) = -tanR

tanP + tanQ / ( 1- tanP.tanQ) = -tanR

Or tanP + tanQ = -tanR + tanP.tanQ.tanR
Or tanP +tanQ + tanR = tanP.tanQ.tanR
Hence proved .

Answer 2

Answer:

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