Question

A+B+C=180,prove that tanA-B/2=cot(C/2+B)

Answer 1

Answer:

given - a+b+c=180

lhs-. tanA-B/2

rhs- cot(c/2+B)

=1/tan(c/2+B)=tanA-B/2

=. tanA-B/2 * tan(c/2+B)

= tan2(a-b+c/2)

tan2(45)=1= cot(c/2+B).

hence proved

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