Question

In any triangle ABC, if tanθ = (2√ab)/(a - b)sinC/2 Prove that c = (a - b) secθ

Answer 1

As given, tanθ = (2√ab)/(a - b)sinC/2.

Hence, by solving this and using formula

cosC = (a2 + b2 - c2)/2ab, we can solve the above problem.