These are the names and equations to remember for chapter 11:
*Limacon
r=a+b sin(theta) r=a+b cos(theta)
*Cardioid
r= a+ or -bsin (theta) r= a+ or - bcos (theta)
*Rose Curve
r=a sin(n theta) r=a cos (n theta)
n=how many petals there are
*Archimedes Spiral
r=a (theta)+b
*Logarithmic Spiral
r=ab^(theta)
*Common circle with center point at the pole
r=a sin (theta) r=a cos(theta)
When converting to recangular, use....
x=r cos (theta) or y=r sin (theta)
When converting to polar, use...
r= + or - √x2 + y2
To take the tan inverse....
theta= tan-1(y/x)
r=a+b sin(theta) r=a+b cos(theta)
*Cardioid
r= a+ or -bsin (theta) r= a+ or - bcos (theta)
*Rose Curve
r=a sin(n theta) r=a cos (n theta)
n=how many petals there are
*Archimedes Spiral
r=a (theta)+b
*Logarithmic Spiral
r=ab^(theta)
*Common circle with center point at the pole
r=a sin (theta) r=a cos(theta)
When converting to recangular, use....
x=r cos (theta) or y=r sin (theta)
When converting to polar, use...
r= + or - √x2 + y2
To take the tan inverse....
theta= tan-1(y/x)
I could also use some help with recursive definitions!!
recursive definition refers to what is being done to the term prior to the term you are looking for
ReplyDeleteA recursive definition can be expressed as an-1 or tn-1
to find a recursive definition you put an=an-1 then what ever is being done to the first term to get the second term which should be the same thing being done to the second term to get the third
and so on.