Question

Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r < 0. Then plot the point. (2, -3)

Answer 1

To find two other pairs of polar coordinates for (2, -3), use positive and negative values for r and calculate theta using the formula theta = atan(y/x).

Step-by-step explanation:

To find two other pairs of polar coordinates for the given polar coordinate (2, -3), we need to find two other values of r and theta.

For r > 0, let's use a positive value for r, such as r = 2. We can calculate theta using the formula theta = atan(y/x), where (x,y) are the rectangular coordinates. In this case, theta = atan(-3/2) = -56.31 degrees.

For r < 0, let's use a negative value for r, such as r = -2. The theta value will remain the same as before, theta = -56.31 degrees.

Therefore, two other pairs of polar coordinates for (2, -3) are (2, -56.31 degrees) and (-2, -56.31 degrees).

Answer 2

X = 2

Y = -3

Step-by-step explanation:

1. Go on the Y axis and count up to 2
2. Then go to the X axis and count down -3 / 0.3

Now you have 2, -3