Find the polar coordinates of the point Then express the ang

Find the polar coordinates of the point. Then, express the angle in degrees and again n radians, using the smallest possible position angle. (3 squareroot 2, -3 squareroot 2) The polar coordinates of the point are. (Simplify your answer. Type an ordered pair. Type the coordinate for theta in radians. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) Express the angle n degrees using the smallest possible positive angle. theta = degree (Simplify you answer Type your answer in degrees.) Express the angle in radians using the smallest possible positive angle. theta = (Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)

Solution

(3 sqrt2, -3 sqrt2)

R=sqrt(x²+y²)= sqrt(18+18)=6

theta=tan^-1(y/x) = tan^-1(-3sqrt2/3sqrt2) = 315 degree

polar form = (6,315degree)

theta=315 degree

theta=7pi/4