Find all polar coordinates of point P where P = negative pi divided by 6.

Answer 1

The polar coordinate can be written as (r, θ) = (r, θ + 2nπ) or (r, θ) = [ - r, θ + (2n + 1)π ], where n is any integer.

The polar coordinates point : P = (r, θ) = (r, - π/6).

Let r be the positive value, then, the polar coordinate can be written as P= (r, - π/6) = (r, 2nπ - π/6), where n is any integer.

Let r be the negative value, then, the polar coordinate can be written as P = (r, - π/6) = [ - r, (2n + 1)π - π/6 ], where n is any integer.

Therefore, all polar coordinates of point P are (r, 2nπ - π/6) and [ - r, (2n + 1)π - π/6 ].