Question 278379: Give the polar coordinates: (0, -3).
Found 2 solutions by Theo, nyc_function:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! a point in polar coordinates is expressed as (r,T) where:
r = the radius of the circle.
T = the angle.
T can be expressed in degrees or in radians.
In your problem, the point is (0,-3).
The x value is equal to 0 and the y value is equal to -3.
This makes r = sqrt(x^2 + y^2) = sqrt (9) = 3.
The angle equals arcTan (y/x) = arcTan (-3/0) = arcTan (- infinity) = 270 degrees.
the polar coordinates are (3,270) where T is expressed in degrees.
This is equivalent to (3,4.71238898) where T is expressed in radians.
To convert from radians to degrees, multiply by 180 / pi.
To convert from degrees to radians, multiply by pi / 180.
Answer by nyc_function(2741)  (Show Source):
You can put this solution on YOUR website! We need to convert to the form (r, theta).
(1) Graph the given point on the xy-plane.
(2) From the graph we can see that the radius is the distance from the origin to the point (0, -3). So, the radius is 3.
(3) We ow need to find theta.
If we begin to rotate from the positive measure on the x-axis to the given point (0,-3), we will end our rotation on the y-axis below the x-axis where the value of theta is 270 degrees.
So, (0,-3) can be written as (3, 270) in polar form.
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