# How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is theta: OA=2, theta=-60^circ?

Feb 28, 2018

color(blue)((1,-sqrt(3))

#### Explanation:

Using the sine and cosine functions, the x coordinate is given by:

$x = 2 \cos \left(- {60}^{\circ}\right)$

and the y coordinate is given by:

$y = 2 \sin \left(- {60}^{\circ}\right)$

$\therefore$

$x = 2 \sin \left(- {60}^{\circ}\right) = 2 \cdot \frac{1}{2} = 1$

$y = 2 \sin \left(- {60}^{\circ}\right) = 2 \cdot - \frac{\sqrt{3}}{2} = - \sqrt{3}$

$\sqrt{3}$ is in its simplest form. So coordinates of point $\boldsymbol{P}$ are:

color(blue)((1,-sqrt(3))