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(r, θ )
You are familiar with plotting with a rectangular coordinate system.
We are going to look at a new coordinate system called the polar coordinate system.
The center of the graph is called the pole.
Angles are measured from the positive x axis. Points are represented by a radius radius and an angle
(r, To θ ) point plot the
π 5, 4
First find the angle Then move out along the terminal side 5
A negative angle would be measured clockwise like usual.
3π 3,− 4
To

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(
r
,
θ
)
You are familiar withplotting with a rectangular coordinate system.We are going to look at anew coordinate systemcalled the polar coordinate system.
The center of the graph iscalled thepole.Angles are measured fromthe positive
x
axis.Points arerepresented by aradius and an angle
(
r
,
θ
)
radiusangleTo plot the point
4,5
π
First find the angleThen move out alongthe terminal side 5
A negative angle would be measured clockwise like usual.To plot a pointwith a negativeradius, find theterminal side of the angle but thenmeasure from thepole in thenegative directionof the terminalside.
−
43,3
π
−
32,4
π

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