1. 10.2 Graphing Polar Equations Day 2
Today’s Date:
2/25/16

2. these points are on top of other points!
EX 1: θ r
2.8 4
–2.8 –4 π θ r
–2.8 –4
2.8 4 2π
these points are on top of other points!

3. these points are on top of other points!
EX 1: θ r
2.8 4
–2.8 –4 π θ r
–2.8 –4
2.8 4 2π
these points are on top of other points!

4. ROSES These look like flowers…we call each loop a “petal.”
Length of each petal = ______
If b is even, there are _______ petals.
If b is odd, there are _______ petals.
(*Since the values from 0 to 2π give us the points, having b be an odd number, the values actually repeat themselves and overlap the already existing values so we do not get double the number of petals like we do with b being even.)
First peak is at _______
Peaks are ______ radians apart
(n is number of petals)
Typical Graphs: a 2b b
θ = 0

5. 5 6 4 3 θ = 0 EX 2: Length of Petals:_______ Number of Petals:_______
EX 2:
Length of Petals:_______
Number of Petals:_______
First Peak at:_______
Each Petal _______ rad apart
EX 3: 5 6 4 3
θ = 0

6. EX 4: θ r ±2
±1.4
und
these points repeat

7. EX 4: θ r ±2
±1.4
und
these points repeat

8. Maximum distance out is ________
LEMNISCATE These look like “figure eights.”
Oriented on _______________
Maximum distance out is ________
Typical Graph:
polar axis

9. EX 5:
Oriented On: Polar Axis /
Maximum Distance:_______   
EX 6: 6 2

10. Ex 7: Determine an equation of the polar graph.
Why?_________________________________________________
______________________________________________________
r = 3cos 2θ
petal graph w/ 4 petals
 2θ
peak on polar axis
 cos
petal length is 3
 a = 3

11. Homework
# Day 2 Worksheet