Answer:
(4,470°)
Step-by-step explanation:
The representation that does not change the location of (4, 110°) in polar coordinates are all points that are coterminal with the given point.
The only point among the given options that is coterminal with (4, 110°) is (4, 470)°
The two points have the same magnitude and 470°-360°=110°.
Since 110° is coterminal with 470° and the two points have the same magnitude with the same sign, the two points represent the same location in polar coordinates.
The correct choice is (4,470°)
The representation (4, 470°) that does not change the location of the given point. (4, 110°)
The polar coordinate system is a two-dimensional coordinate system used to represent each point on a plane using the distance from a reference point and an angle from a reference direction.
The point (4, 110°) have a distance of 4 from the origin and angle of 110°. The angle can also be represented as 110 + 360 = 470°
The representation (4, 470°) that does not change the location of the given point. (4, 110°)
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