Convert the Cartesian coordinate ( −3 , 5 ) to polar coordinates, with 0 ≤ θ < 2 π and r > 0

Question

r= sqrt(34)

theta=?

Answer 1

You find theta = tan^-1(y/x) (Inverse tangent). If x < 0 (2nd or 3rd quadrant), you must add or subtract pi (180 degrees) from theta. The calculator only gives you the inverse from -pi/2 to pi/2.

r is correct.