Easy -1.8 This is a straightforward 1-mark multiple choice question requiring direct application of the polar-to-Cartesian conversion formulas x = r cos θ and y = r sin θ. It involves standard angle values (2π/3) where exact trigonometric ratios are known, making it a routine recall exercise with minimal calculation and no problem-solving required.
Point \(P\) has polar coordinates \(\left(2, \frac{2\pi}{3}\right)\).
Which of the following are the Cartesian coordinates of \(P\)?
Circle your answer.
[1 mark]
\((1, -\sqrt{3})\) \quad \((-\sqrt{3}, 1)\) \quad \((\sqrt{3}, -1)\) \quad \((-1, \sqrt{3})\)
Point $P$ has polar coordinates $\left(2, \frac{2\pi}{3}\right)$.
Which of the following are the Cartesian coordinates of $P$?
Circle your answer.
[1 mark]
$(1, -\sqrt{3})$ \quad $(-\sqrt{3}, 1)$ \quad $(\sqrt{3}, -1)$ \quad $(-1, \sqrt{3})$
\hfill \mbox{\textit{AQA Further AS Paper 1 2019 Q3 [1]}}