If sinθ + cosθ = cosθ, then the value of cotθ is:
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Correct answer: B
Explanation
The correct answer is option 2 i.e. .
sinθ + cosθ = √3 cosθ
sinθ = √3 cosθ - cosθ
sinθ = cosθ(√3 - 1)
sinθ/cosθ = tanθ = (√3 - 1)
cotθ = 1/(√3 - 1) = (√3 + 1)/2
Therefore, the value of cotθ is (√3 + 1)/2.