plan_complexe.py

Created by anaali

Created on April 06, 2024

552 Bytes

# Type your text here
x=|z|*cos(teta)
y=|z|*sin(teta)

cos(a-b)=cos(a)cos(b)+sin(a)sin(b)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

sin(a-b)=sin(a)cos(b)-cos(a)sin(b)
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

cos(2a)=cos**2(a)-sin**2(a)
       =2cos**2(a) -1 
       = 1-sin**2(a)
sin(2a)=2sin(a)cos(a)

Moivre:
  (cos teta +isin teta)**n
  = cos(nteta)+isin(nteta)
Euler:
  cos(teta)=(e**iteta+e**-iteta)/2
  sin(teta)=(e**iteta-e**-iteta)/2i
e**i*pi=-1

zm=(za+za)/2
|(b-a)/(c-a)|=AB/AC
arg((b-a)/(c-a))=(AC;AB)
Un={e**(2ipi*k/n)} k [0;n-1]

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