Determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ

Question

Determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ < 360°.

kohai · Answer

First of all, do you know what a polar coordinate is?

anonymous · Answer

no im in an online class and i have to teach myself @kohai

kohai · Answer

So, do you know what quadrant this point is in?

anonymous · Answer

no

kohai · Answer

|dw:1401044211729:dw|

anonymous · Answer

ok

kohai · Answer

So do you know how to even plot this point...?

kohai · Answer

I'm really confused as to how you made it to trig when you can't do pre-algebra stuff...

ipwnbunnies · Answer

OO KILL EM.

anonymous · Answer

$$put~2=r~\cos \theta~and~-2=r ~\sin \theta $$
square and add
$$2^2+\left( -2 \right)^2=r^2\left( \cos ^2 \theta+\sin ^2 \theta  \right),r^2=8,r=2\sqrt{2}$$
divide 
$$\tan  \theta =-1=-\tan \frac{ \pi }{ 4 }=\tan \frac{ - \pi }{ 4 }=\tan \left( \pi-\frac{ \pi }{ 4 } \right),\tan \left( 2 \pi-\frac{ \pi }{ 4 } \right)$$
$$\theta=?$$