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Find all polar coordinates of point p where p= (5, pi/3)

User Astrada
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The polar coordinate of any point can be written as:

(r, θ) = (r, θ + 2nπ) when positive

(r, θ) = [ - r, θ + (2n + 1)π ] when negative

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)

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 ].

User DigitalDesignDj
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