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Find all polar coordinates of point p where p = ordered pair 5 comma negative pi divided by 6.
Solution:
The polar coordinates of point p are
P = (r, θ)
Where r is the real number
θ is the radian
All the polar coordinates of the point P are
P = (r, θ + 2nπ)
P = (-r, θ + (2n + 1)π)
P (5, -π/6) are the given coordinates
All the polar coordinates of the point P are
P = (5, -π/6 + 2nπ)
P = (5, -π/6 + (2n + 1)π)
Therefore, all polar coordinates of point p are P = (5, -π/6 + (2n + 1)π).
Find all polar coordinates of point p where p = ordered pair 5 comma negative pi divided by 6.
Summary:
All polar coordinates of point p where p = ordered pair 5 comma negative pi divided by 6 are P = (5, -π/6 + (2n + 1)π).
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