Question

Find the equation of a line for p = 8, α = 300°.

Answer 1

 p = 8, α = 300°
So, the equation of the line in normal form is 

\[x\cos {300}^\circ + y\sin {300}^\circ = 8\]

\[ \Rightarrow x\cos\left( {360}^\circ - {60}^\circ \right) + y\sin\left( {360}^\circ - {60}^\circ \right) = 8\]

\[ \Rightarrow x\cos {60}^\circ - y\sin {60}^\circ = 8\]

\[ \Rightarrow \frac{x}{2} - \frac{\sqrt{3}y}{2} = 8\]

\[ \Rightarrow x - \sqrt{3}y = 16\]