Find all polar coordinates of point p = (6, 31°).

Solution:

The polar coordinates of point p are:

1. p(6cos31, 6sin31) = p(5.143, 3.09)

2. p(6cos(180 - 31), 6sin(180 - 31)) = p(-5.143, 3.09)

3. 6(cos(180 + 31), 6sin(180 + 31)) = p(-5.143, -3.09)

4. 6(cos(360 - 31), 6sin(360 - 31) = p(5.143, -3.09)

Find all polar coordinates of point p = (6, 31°).

Summary:

All the polar coordinates of point p = (6, 31°) are p(5.143, 3.09), p(-5.143, 3.09), p(-5.143, -3.09) and p(5.143, -3.09)