WOLFRAM|DEMONSTRATIONS PROJECT

Exploring Polar Graphs

​
a
0
b
1
c
1
d
0
choose
sin
cos
identity
sec
range for angles
2
zoom
3
rounda, b, c, d
This Demonstration plots the polar graphs of
r(θ)=a+bf((cθ-d)π)
for various trig functions
f(θ)
. In case the choice is the identity,
r(θ)=a+kθ
, where
k=b(c-d)π
. What do
a
,
b
,
c
, and
d
do?