the rectangular coordinates of a point are giver. find the polar coordinate for the point (0,-2)

Answer 1

Polar coordinates take the following form:

(r, θ) where r is the radius of the line made with the origin and θ is the angle made.

If you plot the point (0, -2), you have a point 2 units down the y axis. This means that the radius is simply 2 since it is 2 units away from the origin with no x-direction.

The angle will be 270^o since it is simply down the y-axis.

Thus, your answer is (2, 270^o)

NOTE: If the point were (2,-2), for example, this would be a different radius and angle. You would need to use the pythagorean theorem to find that the radius is the square root of 2² + (-2)² since that is how far it is from the origin. Also, you would need to find the angle using special triangles.