01
Complex forms - exponential to Cartesian
Write each number in the form
. (a)
(b)
02
Polar and exponential form
Write down Euler’s Formula.
Now write
: (i) in polar form
(ii) in exponential form
03
Polar and exponential form
Write down Euler’s Formula.
Now write each of the following complex numbers (i) in polar form, and (ii) in exponential form.
(a)
(b)
04
Complex products and quotients using polar
For each pair of complex numbers
and , compute: (a)
(b)
(Use polar forms with
.)
05
Complex powers using polar
Using De Moivre’s Theorem, write each number in the form
. (a)
(b) (First convert to polar/exponential, then compute the power, then convert back.)