Question

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

Answer 1

Answer:

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Step-by-step 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:

$-\frac{4}{3}\pi+2\pi=\frac{2}{3}\pi\\\\\frac{2}{3}\pi+2\pi=\frac{8}{3}\pi$

$\frac{8}{3}\pi+2\pi=\frac{14}{3}\pi$

hence, the other two points are

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)