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Annoying equations so I don’t fail my test again
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magnitude
√a²+b²
Component form
(x²-x),(y²-y)
Directional angle
Arctan(y/x)
Dot product
(UV+U²V²)
|U|
√U•U
Angle between vectors
Arccos(UV/|U|•|V|)
Rectangular coordinates
rcosx,rsinx
Polar coordinates
√x²+y²,arctan(y/x)
Symmetry for limacon graph
Cos = X Sin = Y
Symmetry for Rose Petal graph
If N = even, all 3; else cos=X sin=Y
Range of rose petal
-|a|,|a|
Range of limacon
a-b,a+b