expcomplexe.py

Created on February 27, 2022

470 Bytes

exponentielle
-f(f**-1(x))=x
-ln(e**x)=x
-e**ln(x)=x

-e**a+b=e**a*e**b
-e**a-b=e**a/e**b
-e**-a=1/e**a
-e**a*b=(e**a)**b

-ln(1)=0=e**0=1
-ln(e)=e**1=e

-e**x derivee=e**x

cos(teta)+isin(teta)=e**iteta
re**iteta=r(cos(teta)+isin(teta))
exemple
1+isqrt(3)
forme algébrique=1+isqrt(3)
forme trigo=2(cos(pi/3)+isin(pi/3))
forme expo=2eipi/3
O=teta
cos(O+O")=cosOcosO"-sinOsinO"
sin(O+O")=cosOsinO"+sinOcosO
cos**2(O)=1+cos(2O)/2
sin**2(O)=1-cos(2O)/2

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