Plot the point (3, 2pi/3), given in polar coordinates, and find other polar coordinates (r, θ )of the point for which the following are true.

(a) r> 0, -2 pi < 0
(b) r < 0, 0 < 2 pi
(c) r > 0, 2 pi < 4 pi

(a)

(b)

(c)

Step-by-step explanation:

All polar coordinates of point (r, θ ) are

and

where, θ is in radian and n is an integer.

The given point is . So, all polar coordinates of point are

and

(a)

Substitute n=-1 in , to find the point for which .

Therefore, the required point is .

(b)

Substitute n=0 in , to find the point for which .

Therefore, the required point is .

(c)

Substitute n=1 in , to find the point for which .

Therefore, the required point is .

I'd help you but you'd probably sue me too.
Fun fact: You can't just sue people for petty reasons like this. You will end up having to pay court costs, costs to the party your suing for their time, and likely be in contempt of court which is punishable by anything from a warning to jail time. Try again asking nicely and maybe someone will help you.