tanθ+tan2θ=tan3θ
((tanθ+tan2θ)/(1−tanθtan2θ))(1−tanθtan2θ)=tan3θ
tan3θ(1−tanθtan2θ)=tan3θ
tanθtan2θtan3θ 0
3θ=kπ, where k=0,1,2,3,...
θ=((kπ)/3)
tanθ=0 or tan2θ=0 or tan 3θ = 0
θ=mπ, where m=0,1,2,3,...
2θ=nπ, where n=0,1,2,3,...
θ=((nπ)/2) but θ∉(((p+1)π)/2), p=0,1,2,3,...
The exhaustive set ={θ/θ=((kπ)/3) or θ=mπ}
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