alaina's makeup blog for 14 Feb 2010

Chapter 11 is pretty easy as long as you can recognize the shapes and equations. Also you have to know how to convert from polar to rectangular and from rectangular to polar as well as memorize the equations from sections 3 and 4.

Here are the names and equations to know:

**Limacon
r=a+b sin(θ) r=a+b cos(θ)

**Cardioid
r= a+ or -bsin (θ) r= a+ or - bcos (θ)

**Rose Curve
r=a sin(n θ) r=a cos (n θ)
n=how many petals there are

**Archimedes Spiral
r=a (θ)+b

**Logarithmis Spiral
r=ab^(θ)

**Common circle with center point at the pole
r=a sin (θ) r=a cos(θ)


When converting to recangular, use....

x=r cos (θ) or y=r sin (θ)

When converting to polar, use...

r= + or - √x2 + y2

take the tan inverse....
theta= tan-1(y/x)