SOLUTION: (2, 3𝜋/4) Find three additional polar representations of the point, using −2𝜋 < 𝜃 < 2𝜋. (r, 𝜃)= (r, 𝜃)= (r, 𝜃)=

Algebra ->  Finance -> SOLUTION: (2, 3𝜋/4) Find three additional polar representations of the point, using −2𝜋 < 𝜃 < 2𝜋. (r, 𝜃)= (r, 𝜃)= (r, 𝜃)=      Log On


   

Question 1177645: (2, 3𝜋/4)
Find three additional polar representations of the point, using −2𝜋 < 𝜃 < 2𝜋.
(r, 𝜃)=
(r, 𝜃)=
(r, 𝜃)=
Answer by greenestamps(13214) About Me  (Show Source):
You can put this solution on YOUR website!


(1) You can keep the given magnitude 2 and add or subtract any multiple of 2pi (i.e., any even multiple of pi) to the given angle. There is only way you can do that and keep the angle between -2pi and +2pi.

(2) Or you can add or subtract any odd multiple of pi and change the magnitude 2 to its opposite, -2. There are two ways you can do that and keep the angle between -2pi and +2pi.

Since they asked for 3 other representations of the given point, they are asking for ALL the other representations that keep the angle between -2pi and +2pi.

I leave it to you to do the actual (easy) work.