Use a graphing utility to find one set of polar coordinates

Use a graphing utility to find one set of polar coordinates (r > 0, 0 lessthanorequalto theta

Solution

( 5 , - sqrt 7 )

r = sqrt ( x^2 + y^2 )

r = sqrt( 25 + 7) = sqrt 32 = 4 sqrt 2

theta = tan^-1 ( y/x) = tan^-1 ( - sqrt 7 / 5 )

theta = -27.88 degrees