polar coordinates 3

Question

Find all polar coordinates of point P where P = .

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) = (5, π/3).

The value of r is positive, the polar coordinate can be written as P= (5, π/3) = (5, π/3 + 2nπ), where n is any integer.

The value of r is negative, the polar coordinate can be written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π ], where n is any integer.

The all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].