Question

Drag each pair of coordinates to the correct location on the image. Match each pair of pilar coordinates to the equivalent polar coordinates on the image.

Answer 1

• (2, -60) = (-2, 120°) = (2, 300°) = (-2, -240°)
• (-2, 240°) = (-2, -120°) = (2, 60°) = (2, -300°)

Explanation:

Equivalent polar coordinates will have the same modulus and some multiple of 360° added to the argument, or the opposite modulus and some odd multiple of 180° added to the argument.

a∠b° = a∠(b+360n)° = -a∠(b +180 +360n)°

(2, -60°)

Equivalents will be ...

(2, (-60 +360n)°) = (2, 300°)

(-2, (-60 +180 +360n)°) = (-2, -240°) = (-2, 120°)

(-2, 240°)

Equivalents will be ...

(-2, (240 +360n)°) = (-2, -120°)

(2, (240 +180 +360n)°) = (2, -300°) = (2, 60°)