Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

Answer 1

Step 1:

The rectangular point is .

If is a point rectangular coordinates  , then polar coordinates  are defined as

    and .

Here .

Substitute in .

Step 2:

Now, substitute in .

is negative in second and fourth quadrants.

and .

and .

Two pairs of polar coordinates of the point are  and .

Solution:

Two pairs of polar coordinates of the point and .