Give three points that are equivalent to the polar point ( 4 , 235 ∘ ) . Write the three points in polar form, with the angles in degrees.

Question

Give three points that are equivalent to the polar point . Write the three points in polar form, with the angles in degrees.

Answer 1

Equivalent angles can be found by rotating the angle through multiples of 360°, so that some equivalent angles are

(4, 595°)

(4, 955°)

(4,1315°)

(4, -125°)

(4, -485°)

and so on.

There is another family of coordinates that produces the same point if we make the radial distance negative and then add multiples of 360°, only this time offset by 180°. Some examples are

(-4, 415°)

(-4, 775°)

(-4, 55°)

(-4, -305°)

and so on. Hope this helps!

Answer 2

(4, 235°) = (- 4, 55°) = (- 4, 415°) = (4, - 125°)