If sinθ + cosθ = √5sin(90 - θ), find the value of cotθ

Answer: Option B

sinθ + cosθ = √5cosθ
sinθ = cosθ(√5 - 1)
$$\cot \theta =\frac{1}{\sqrt{5}-1}\times \frac{\sqrt{5}+1}{\sqrt{5}-1}=\frac{\sqrt{5}+1}{4}$$