@@ -254,11 +254,11 @@ function helps in re-deriving trigonometric identities.
## Problems
1. [:grinning:] Given $a=1+2\rm i$ and $b=4-2\rm i$, calculate and draw in the
complex plane the numbers $a+b$, $a-b$, $ab$, and $a/b$.
1. [:grinning:] Given $a=1+2\rm i$ and $b=-3+4\rm i$, calculate and draw in the
complex plane the numbers $a+b$, $ab$, and $b/a$.
2. [:grinning:] Evaluate (a) $\rm i^{1/4}$, (b)
$\left(-1+\rm i \sqrt{3}\right)^{1/2}$, (c) $\exp(2\rm i^3)$.
$\left(1+\rm i \sqrt{3}\right)^{1/2}$, (c) $\exp(2\rm i^3)$.
3. [:grinning:] Find the three 3rd roots of $1$ and ${\rm i}$ (i.e. all possible solutions to the equations $x^3 = 1$ and $x^3 = {\rm i}$, respectively).
