# 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=6, theta=90^circ?

Mar 6, 2018

Coordinates of color(green)(A = (0,1)

#### Explanation:

Point A is in first quadrant as $\theta$ is ${90}^{\circ}$

Hence, both x , y coordinates are positive..

${A}_{x} = \overline{O A} \cos \theta = 6 \cdot \cos 90 = 25 \cdot 0 = 0$

as $\cos \left(90\right) = - 0$

${A}_{y} = \overline{O A} \sin \theta = 25 \cdot \sin 90 = 25 \cdot 1 = 25$

as $\sin \left(90\right) = 1$

${A}_{y} = - 25$

Coordinates of color(green)(A = (0,1)