Complex Analysis: Theory and Applications · Problem 1.4.1

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · argument-of-complex-numbers

Problem

Find

\text{Arg}\, z

for the following values of

z

. (a)

1 - i

. (b)

-\sqrt{3} + i

. (c)

(-1 - i\sqrt{3})^2

. (d)

(1-i)^3

. (e)

\dfrac{2}{1 + i\sqrt{3}}

. (f)

\dfrac{2}{i-1}

. (g)

\dfrac{1+i\sqrt{3}}{(1+i)^2}

. (h)

(1+i\sqrt{3})(1+i)