diff --git a/src/1_complex_numbers.md b/src/1_complex_numbers.md index 26b4b630fb8ece389111ec3dc2d18ac90e9b8690..550cb4680199d16cad65d5c37eba35e395622728 100644 --- a/src/1_complex_numbers.md +++ b/src/1_complex_numbers.md @@ -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).