Take 5 minutes to prepare this exercise.
Then, if you lack ideas to begin, look at the given clue and start searching for the solution.
A detailed solution is then proposed to you.
If you have more questions, feel to ask then on the forum.
Question
Determine the modulus and the argument of the following complex numbers:
Write
and
with their trigonometric form and their exponential form.
Indice
Use the formula
Then factorize by the absolute value to determine the cosinus and the sinus of the argument.
Solution
We have:
If we denote by
the main argument of
we have:
and
hence
We have:
If we denote by
the main argument of
we have:
and
therefore
