If {(3sin θ – cos θ)/(cos θ + sin θ)} = 1, then the value of cot θ is:
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Correct answer: C
Explanation
The correct answer is Option 3 i.e 1.
{(3sin θ – cos θ)/(cos θ + sin θ)} = 1
Dividing numerator and denominator by sinθ
⇒ {(3sin θ – cos θ)/sinθ/(cos θ + sin θ)}/sinθ = 1
⇒ (3 - cotθ)/(cotθ + 1) = 1
⇒ 3 - cotθ = cotθ + 1
⇒ 2cotθ = 2
⇒ cotθ = 1