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View Full Version : rearrange a+ib to mod*cis argand


brandy
Aug13-08, 09:16 AM
how could i rearrange

a*e^(iθ)+b^2/(a*e^(iθ))

a*e^(iθ)-f*b+b^2/(a*e^(iθ)-f*b)

and

a*e^(iθ)+i*a sin(B)-f*b+b^2/(a*e^(iθ)+i*a sin(B)-f*b)

were a=radius
e= exp
i=imaginary
θ=variable
B=angle (constant)
b=constant (smaller than a)
f=constant (smaller than b)

into a*cos θ + i*b*sin θ
???
any help is appreciated.

by the way this all has to do with conformal mapping and the w=z+b^2/z joukowski areifoils thingy
-cant spell
i no.