Question

What are 3 other points that take you to the same location as (6, -4pi/3)

Answer 1

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Explanation:

To find the other three points you take into account that if you sum 2π to one coordinate you have the same point.

Hence, by adding 2π to -4π/3, and again other two times:

`-(4)/(3)\pi+2\pi=(2)/(3)\pi\\\\(2)/(3)\pi+2\pi=(8)/(3)\pi`

`(8)/(3)\pi+2\pi=(14)/(3)\pi`

hence, the other two points are

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)