Question
Download Solution PDFIf {(3 sin θ – cos θ) / (cos θ + sin θ)} = 1, then the value of cot θ is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
{(3Sinθ – Cosθ)/(Cosθ + Sinθ)} = 1
Calculation:
We have a trigonometric equation
{(3Sinθ – Cosθ)/(Cosθ + Sinθ)} = 1
On dividing numerator and denominator by sin θ, we get
⇒ [{(3sinθ – cosθ)/Sinθ}/{(cosθ + sinθ)/sinθ}] = 1
⇒ {(3 – cotθ)/(cotθ + 1)} = 1
⇒ 3 – cotθ = 1 + cotθ
⇒ 2cotθ = 2
cotθ = 1
The value is 1.
Last updated on Jun 13, 2025
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