Complex Analysis: Theory and Applications · Problem 5.1.4

Elementary Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-exponential-cartesian-form

Problem

Express

e^z

in the form

u + iv

for the following values of

z

. ((a))

-\frac{\pi}{3}

. ((b))

\frac{1}{2} - i\frac{\pi}{4}

. ((c))

-4 + 5i

. ((d))

-1 + i\frac{3\pi}{2}

. ((e))

1 + i\frac{5\pi}{4}

. ((f))

\frac{\pi}{3} - 2i