Question

Which polar coordinates represent the same point as the rectangular coordinate (1,-3)?

Answer 1

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the objects. The polar coordinate of the coordinate (1, -3) is (√10, 288.435).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The polar coordinate of the coordinate (1, -3) are,

r = √(x² + y²) = √[(1)²+(-3)²] = √10

θ = tan⁻¹(-3/1) = -71.565 = 288.435

Hence, The polar coordinate of the coordinate (1, -3) is (√10, 288.435).

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