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If $\sin α \sin β - \cos α \cos β + 1 = 0$ then $1 + \cot α \tan β =$

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Correct option is C

We have sinαsinβ-cosαcosβ=-1⇒cos(α+β)=1⇒α+β=0,2π,4π ……Now 1+cotαtanβ=1+cosαsinα·sinβcosβ =sin(α+β)sinαsinβ =0 ∵α+β=2nπ

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If sinαsinβ−cosαcosβ+1=0 then 1+cotαtanβ=

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Ready to Test Your Skills?

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If $\sin α \sin β - \cos α \cos β + 1 = 0$ then $1 + \cot α \tan β =$