If (2sinθ - cosθ)/(cosθ + 3sinθ) = 1 then value of cotθ is?

\(\frac{2sinθ - cosθ}{cosθ + 3sinθ}\) = 1

⇒ \(\frac{sinθ(2-cotθ)}{sinθ (cotθ + 3)}\) = 1

⇒ 2 - cotθ = cotθ + 3

⇒ 2cotθ = -1

⇒ cotθ = -\(\frac{1}{2}\)