If 2 tan α = 3 tan β, prove that tan (α - β)
Given: 2 tan α = 3 tan β
Proof:
Take LHS:
tan α – tan β
{∵ sin 2x = 2(sin x)(cos x)}
{∵ 2 cos2 x = 1 + cos 2x & 2 sin2 x = 1 – cos 2x}
= RHS
Hence Proved