# 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

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