Question

if r does not equal 0, which of the following polar coordinate pairs represents the same point as the point with polar coordinates (r,θ)? ( 2 answers required only)

Answer 1

Answer:

First option

(r, θ - 2π)

Step-by-step explanation:

Polar coordinates are a representation in terms of a given longitude r, and an orientation given by an angle. (Please see attached image)

Since the polar coordinate is cyclic (The values from the angle go from 0 to 2π and then go through the same values again) if we add or subtract 2π, from any value we find ourselves in the same initial position

So, any point can be represented by

(r, θ ± 2π)