Find all polar coordinates of point p where p = ordered
pair 5 comma pi divided by 3.
The polar coordinate of any point can be written as:
<span>(r, θ) = (r, θ + 2nπ) -->
when positive</span>
<span> (r, θ) = [ - r, θ
+ (2n + 1)π ] -->
when negative</span>
<span> where n is any
integer.</span>
The polar coordinates of this given point P is: P =
(r, θ) = (5, π/3).
When the value of r is positive, the polar coordinate is
written as P= (5, π/3) = (5, π/3 + 2nπ)
where n is any integer.
When the value of r is negative, the polar coordinate is
written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π]
where n is any integer.
Therefore all polar coordinates of point P are (5, π/3 +
2nπ) and [ - 5, π/3 + (2n + 1)π ].
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