Question
Find the equation of a line for which:
$\text{p}=5,\alpha=60^\circ$

Answer

$\text{p}=5,\ \alpha=60^\circ$$\text{x}\cos\alpha+\text{y}\sin\alpha=\text{p}$
$\Rightarrow\text{x}\cos60^\circ+\text{y}\sin60^\circ=5$
$\Rightarrow\text{x}\times\frac{1}{2}+\text{y}\times\frac{\sqrt3}{2}=5$
$\Rightarrow\text{x}+\sqrt{3\text{y}}=10$

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