How do you convert e^(3-4i)e34i into cartesian form?

1 Answer
Aug 25, 2016

e^3(cos 4-i sin 4)=-13.13-i 15.20e3(cos4isin4)=13.13i15.20., nearly

Explanation:

e^(3-4i)e34i

=e^3 e^((-4)i)=e3e(4)i

=e^3(cos(-4)+i sin (-4)=e3(cos(4)+isin(4)

=e^3(cos 4 - i sin 4)=e3(cos4isin4)

20.0855(cos (229.2^o)- i sin (229.3^o))20.0855(cos(229.2o)isin(229.3o))

=-13.13-i 15.20=13.13i15.20., nearly

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