Polar Coordinates And Rectangular Coordinates Worksheets Page 5
ADVERTISEMENT
1
2
3
4
5
6
7θ θ θ θ
Part 4: r = a
θ
The final curve we will examine comes in the form r = a
and is called the Spiral of Archimedes.
Set the WINDOW [-23.5,23.5] by [-15.5,15.5]. Graph the following equations one at a time (make sure the
window is in radian mode).
θ
θ
max = π, 2π, 2.5π, 3π, and :
Graph the equation r = a
with
θ
θ
r = 1
r = 0.5
θ
θ
r = 2
r = -1.5
θ
r = - .8
θ
1. What happens when you change the value of max
? Is this function periodic?
2. What happens when a is negative? As a increases?
3. Using your conclusions, sketch the graph of each of the following on polar graph paper without using your
graphing calculator. Check by using a graphing calculator.
θ
θ
θ
a) r = .7
b) r = -1.2
c) r = 1.9
10
10
10
5
5
5
-20
-15
-10
-5
5
10
15
20
-20
-15
-10
-5
5
10
15
20
-20
-15
-10
-5
5
10
15
20
-5
-5
-5
-10
-10
-10
-15
-15
-15
Homework:
p. 565 – 11-23 all, 27, 30, 38-44 all
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education