if sin +cos=under root 3 then prove that cot + tan =1

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Prove that cos/1-tan +sin/1- cot= cos + sin

If sin $α s i n β c o s β + 1 = 0$ , prove that 1 + cot $α t a n β = 0$ .

sin θ + cos θ = \sqrt{3}

tan θ + cot θ = 1

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

(1 + cot θ + tan θ) (sin θ - cos θ) = sin θ tan θ - cot θ cos θ

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