Find all polar coordinates of point p = (9, 75°).

Solution:

The polar coordinates of point p

1. p(9cos75, 9sin75) = p(2.329, 8.693)

2. p(9cos(180i - 75), 9sin(180 - 75)) = p(-2.392, 8.693)

3. p(9(cos(180 + 75), 9sin(180 + 75)) = p(-2.392, -8.693)

4. p(9cos(360 - 75), 9sin(360 - 75)) = p(2.392, -8.693)

Find all polar coordinates of point p = (9, 75°).

Summary:

All the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693)