2008-II-30 – Solving Master

Ans: C

According to the above figure, we have

$\begin{array}{rcl} θ & = & 300^{\circ} - 270^{\circ} \\ = & 30^{\circ} \end{array}$

The $x$ -coordinate of $P$

$\begin{array}{cl} = & 2 \times \sin 30^{\circ} \\ = & 1 \end{array}$

The $y$ -coordinate of $P$

$\begin{array}{cl} = & - 2 \times \cos 30^{\circ} \\ = & - \sqrt{3} \end{array}$

Therefore, the coordinates of $P$ are $(1, - \sqrt{3})$ .