# Shared Flashcard Set

## Details

Polars
polar shiznit
23
Mathematics
04/12/2011

Term
 4 things to remember
Definition
 x^2 + y^2 = r^2, rcosø=x, rsinø=y, tanø = y/x
Term
 all possibilities of polar (x,ø)
Definition
 (x,ø) + 2πn / (-x, π+ø) + 2πn
Term
 r=acos(nø) (what is a?)
Definition
 ROSE (a = length)
Term
 n = odd
Definition
 n petals
Term
 n = even
Definition
 2n petals
Term
 ROSE = positive cos
Definition
 odd = one petal on +x, even = petals on all axis
Term
 ROSE = positive sin
Definition
 odd = one petal on -y axis, even = no petals on axis
Term
 ROSE = negative (even vs odd)
Definition
 even = only order changes, odd = shift over x for sin and y for cos
Term
 period of rose
Definition
 odd = π, even = 2π
Term
 period of circle
Definition
 π
Term
 period of weirdo's
Definition
 2π
Term
 r=a+/-B(sin/cos)ø
Definition
 Limacon (and cardoid)
Term
 sin (usual position, symmetry, negative sign)
Definition
 usually on positive y axis, symmetry on y axis, negative sign means flip over x axis
Term
 cos (usual position, symmetry, negative sign)
Definition
 usually on positive x axis, symmetry on x axis, negative means flip over y
Term
 a/b < 1
Definition
 inner loop
Term
 a/b = 1
Definition
 cardiod (bumbum)
Term
 a/b between 1 and 2
Definition
 dimpled limacon (lima bean)
Term
 a/b≥2
Definition
 convex limacon(oval?)
Term
 limacon max value
Definition
 addition or subtraction of a and b (work around negative)
Term
 inner loop
Definition
 smallest possible a+-b
Term
 r=asinø
Definition
 circle, a=diameter (on positive y)
Term
 r=acosø
Definition
 circle, a=diameter, (on positive x)
Term
 r=-a(sin/cos)xø
Definition
 circle, diameter a, on negative y or negative x axis
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