Plotting Polar Points
Converting Points (Polar/Rectangular)
Converting Equations (Polar/Rectangular)
Graphing Polar Equations
100
What point is (3,π)
P3
100
What is (2,π) in rectangular form?
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
(2,0)
100
Convert r=3sinθ into rectangular form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
x2+y2=3y
100
What kind of polar graph is this?
Line
200
What point is (-4,11π/6)
P2
200
Convert (√3,-1) into polar form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
(2,11π/6)
200
Convert x2+y2=2y into polar form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
r=2cosθ
200
What is the center point of the circle function
(x+5)2+(y-3)2=25
(-5,3)
300
What point is (3,-11π/6)
P1
300
Convert (1,1) into polar form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
(√2,π/4)
300
Convert x2=4y into polar form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
rcosθ=4tanθ
300
What is the equation for this graph?
(x-1)2+(y)2=4
400
What point is (-2,-7π/6)
P6
400
Convert (2,7π/6) into rectangular form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
(-√3,-1)
400
3r-cos2θ=sin2θ *Use Trig. Identities
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
9(x2+y2)=1
400
How many pedals does the rose function r=3cos(6θ) have?
*What happens if n is an even number?
12
500
What point is (-4,-47π/3)
P4
500
What is (6,3π/4) in rectangular form?
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
(-3√2,3√2)
500
Convert (x-1)2+(y+1)2=2 into polar form
Remember:
x=rcosθ tanθ=y/x
y=rsinθ r2=x2+y2
r-2cosθ+2sinθ=0
500
What's the difference between a Limacon function and a Cardioid function?
a=b in a Cardioid function