SOLUTION: convert cooridinates to equivalent polar form (0,-3)

Question 43941: convert cooridinates to equivalent polar form (0,-3)
Found 2 solutions by fractalier, adamchapman:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The rectangular coordinate point (0, -3) becomes (3, 270�)...graph it and see...
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
polar coordinates are written in the from (r, theta) were r is the radius and theta is the anti-clockwise angle for the positive x-axis.
The radius is easy to calculate:

and theta can be found using:

where atan is the inverse of the tan function.
If x=0, the angle is either 90 or 180 degrees. If y>0 and x=0, theta is 90 degrees.
If y<0 and x=0, theta is 180 degrees.
In polar form, (0,-3) is (3,180) where theta is measured in degrees, or
if the angle is in radians: r=3, theta=0.75*pi (3, 0.75pi)
I hope this helps. If you have any other problems, please dont hesitate to contact me at adam.chapman@student.manchester.ac.uk
RELATED QUESTIONS
Convert the given coordinates to the equivalent polar form: (0,... (answered by fractalier)
Convert the given coordinates to the equivalent polar form: (radical 3,... (answered by stanbon)
Convert -1 + i√3 to polar... (answered by ikleyn)
Convert to polar form, x� + y� - 12y =... (answered by Fombitz)
convert the given coordinates to the equivalent polar form for wz: w = 4(cos 0 degrees + (answered by venugopalramana)
Convert the given coordinates to the equivalent polar form: (negative radical 2, negative (answered by fractalier)
Convert the given coordinates to the equivalent polar form for wz: w = 4(cos0o + i sin... (answered by venugopalramana)
Convert -3R - 4U to polar... (answered by stanbon)
Convert -3R - 4U to polar... (answered by stanbon)