The set of polar coordinates names the same point is (5, 5π/4)
"A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line in a three-dimensional plane are polar coordinates."
According to the question
In general,
In polar coordinates (r, ω) = (-r, ω+π), because when you add π radians to an angle you are turning 180 degrees and then need to change the sign of the radius to preserve the original point.
Then (-5, π/4)
= (5 , π/4 + π)
= (5, 5π/4)
Hence, the polar coordinates names the same point is (5, 5π/4).
To learn more about polar coordinates here
https://brainly.com/question/11657509
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