2014 · Q58
If 2 cot θ = 3, then what is (2 cos θ - sin θ)/(2 cos θ + sin θ) equal to?
Elementary MathematicsTrigonometry
- A2/3
- B1/3
- C1/2
- D3/4
Explanation
Dividing numerator and denominator by sin θ: (2 cotθ - 1)/(2 cotθ + 1) = (3-1)/(3+1) = 1/2.
If 2 cot θ = 3, then what is (2 cos θ - sin θ)/(2 cos θ + sin θ) equal to?
Explanation
Dividing numerator and denominator by sin θ: (2 cotθ - 1)/(2 cotθ + 1) = (3-1)/(3+1) = 1/2.