Answer:
6, 2n*pi - pi/5) and (-6, 2n*pi + 4*pi/5
Step-by-step explanation:
The question is rather ambiguous. I suppose they mean that (6, -pi/5) is ONE set of possible polar coordinates for P.
Answer: 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.
Step-by-step explanation:
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 ].
HOPE THIS HELPS!
