Question

If 4 cot θ = 3 then `((sin θ - cos θ)/(sin θ + cos θ))` = ?

Options

• `3/7`

• `2/7`

• `1/7`

• 0

Answer 1

`bb(1/7)`

Explanation:

`((sin θ - cos θ)/(sin θ + cos θ)) = ((1 - cot θ)/(1 + cot θ))`   ...[Dividing num. and denom. by sin θ]

= `((1 - 3/4))/((1 + 3/4))`   ...`[∵ cot θ = 3/4]`

= `((1/4))/((7/4))`

= `1/7`