Find the equation

Given: p = 8, α = 300°

Concept Used:

Equation of line in normal form.

Explanation:

So, the equation of the line in normal form is

Formula Used: x cos α + y sin α = p

x cos 300° + y sin 300° = 8

⇒ x cos (360° – 60°) + y sin (360° – 60°) = 8

We know, cos (360° – θ) = cos θ, sin (360° – θ) = – sin θ

⇒ x cos60° – y sin60° = 8

⇒

⇒ x – √3y = 16

Hence, the equation of line in normal form is x – √3y = 16