If 2 cot θ = 3, then what is the value of

• Quant Trigo

If 2 cot θ = 3, then what is the value of (2 cos θ - sin θ) / (2 cos θ + sin θ)?

1. 1/3
2. 1/2
3. 3/4
4. 2/3

Answer

cot θ = cos θ / sin θ

Divide both the numerator and denominator by sin θ, to get

(2 cot θ - 1) / (2 cot θ + 1)

Using the value of 2 cot θ = 3

We have the expression = (3 - 1)/(3 + 1)

= 2/4

= 1/2

The correct option is B.