prove that
tan8θ -tan6θ-tan2θ = tan8θ.tan6θ.tan2θ
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Step-by-step explanation:
LHS=tan8θ−tan6θ−tan2θ
We know tan(8θ−6θ)=
1+tan8θ+tan6θ
tan8θ−tan6θ
⇒tan8θ−tan6θ=tan2θ(1+tan8θtan6θ)
LHS=tan2θ(1+tan8θtan6θ)−tan2θ
=tan2θ+tan2θtan8θtan6θ−tan2θ
=tan8θ.tan6θtan2θ
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