Answer to Question #254161 in Complex Analysis for Duy

Question

Express z 1⁄4 e1þj=2 in the form a þ j

Answer 1

$ze^{jb}/4=2$

$(a+jb)(cosb+jsinb)=8$

$acosb-bsinb+j(asinb+bcosb)=8$

$asinb+bcosb=0$

$a=-bcosb/sinb$

$-bcos^2b/sinb-bsinb=8$

$b=-8sinb$