2.81*e^(i*36.4)+4.31*e^(i*71.8)=?

2.81*e^(i*36.4)+4.31*e^(i*71.8)=?

Hallo Gast!

Eulersche Identität

$e^{ix}=cos(x)+i\ sin(x)$

$2,81 \cdot e^{i\cdot 36,4}+4,31\cdot e^{i\cdot 71,8}$

Winkel in Grad °

$=2,81\cdot (cos(36,4°)+i\cdot sin(36,4°))+4,31\cdot (cos(71,8°)+i\cdot sin(71,8°))\\ =2,262+0,5934\ i+1,346+4,094\ i\\ \color{blue}=3,608+4,687\ i$

Winkel in rad

$=2,81\cdot (cos(36,4)+i\cdot sin(36,4))+4,31\cdot (cos(71,8)+i\cdot sin(71,8))\\ =0,7541-2,7069\ i+(-3,8684+1,9004\ i)\\ =\color{blue} -3,1143-0,8065\ i$

  !