Find the fourth roots of i in a +bi form. Hint: the half angle formula may be helpful.
Can anyone help? Thanks!
If you are not familiar with the notation $\displaystyle \exp(x+yi)$ here is an elementary way to use it.
Think of $\displaystyle \exp(x+yi)$ as $\displaystyle r(\cos(x)+i~\sin(y))$ where $\displaystyle r=\sqrt{x^2+y^2}$.
Example: $\displaystyle \exp(3+4i)=5(\cos(\theta)+i~\sin(\theta) $ where $\displaystyle \theta=\arctan \left(\frac{4}{3}\right) $.