Find the slopes of the lines which make the following angles with the positive direction of x-axis: `pi/4` ii. `(2pi)/3`

Explanation

(i) Angle made with positive` x` axis is

`frac{pi}{4}`

Therefore, `m=tan theta=tan (frac{pi}{4})=1`

(ii) Angle made with positive `x` axis is` frac{2 pi}{3}`

Therefore, `m=tan theta=tan (frac{2 pi}{3})=-sqrt{3}`