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Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 4.
Solution:
If (r, θ) are the polar coordinates of a point, then all the polar coordinates are defined as
(r, θ + 2nπ) and (-r, θ + (2n + 1)π)
Where n ∈ Z
Let us assume the point as p = (3, -π/4)
We have to find all polar coordinates of point p
Where r = 3 and θ = -π/4
All the polar coordinates of point p are
p = (3, -π/4 + 2nπ) and
p = (-3, -π/4 + (2n + 1)π)
Therefore, all the polar coordinates of point p are (3, -π/4 + 2nπ) and (-3, -π/4 + (2n + 1)π).
Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 4.
Summary:
All polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 3 are (3, -π/4 + 2nπ) and (-3, -π/4 + (2n + 1)π).
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