Question

If 5 tan θ = 3 then `((5 sin θ - cos θ)/(5 sin θ + cos θ))` = ?

Options

• `2/3`

• `1/3`

• `1/2`

• `3/5`

Answer 1

`bb(1/2)`

Explanation:

On dividing the num. and denom. by cos θ, we get

`((5 sin θ - 1)/(5 sin θ + 1)) = ((3 - 1))/((3 + 1))`

= `2/4`

= `1/2`