The given equation is
\(\sqrt{3}\)x + y = 4
⇒ \(\frac {\sqrt{3}x}{\sqrt{{(\sqrt{3})^2+1^2}}}\) + \(\frac {y}{\sqrt{{(\sqrt{3})^2+1^2}}}\) = \(\frac {4}{\sqrt{{(\sqrt{3})^2+1^2}}}\),.
A = \(\sqrt{3}\), B = 1, C = – 4
⇒ \(\frac{\sqrt{3}}{2}\)x + \(\frac{1}{2}\)y = \(\frac{4}{2}\)
⇒ x cos 30° + y sin 30° = 2, is the required equation of line in normal form where P = 2, a = 30°
