Abstract Algebra: Theory and Applications · Problem 16

Permutation Groups — Thomas Judson

Mathematics — Abstract Algebra · complex-numbers-polar

Problem

Convert the following complex numbers to the form

a+bi

. ((a))

2\,\mathrm{cis}(\pi/6)

((b))

5\,\mathrm{cis}(9\pi/4)

((c))

3\,\mathrm{cis}(\pi)

((d))

\mathrm{cis}(7\pi/4)/2

Hint. (a)

\sqrt{3}+i

; (c)

-3