Question

If 3 cot θ = 4 then the value of `((5 sin θ + 3 cos θ)/(5 sin θ - 3 cos θ))` = ?

Options

• `1/3`

• 3

• `1/9`

• 9

Answer 1

9

Explanation:

On dividing num. and denom. by sin θ, we get

`((5 sin θ + 3 cos θ)/(5 sin θ - 3 cos θ)) = ((5 + 3 cot θ)/(5 - 3 cot θ))`

= `((5 + 3 xx 4/3))/((5 - 3 xx 4/3))`

= `((5 + 4))/((5 - 4))`

= 9