CPM Homework Help : PCT Problem 11-86

Use DeMoivre’s theorem to find the value of $(\cos(\frac { \pi } { 12 }) + i \sin(\frac { \pi } { 12 }))^6$ .

Hint:

Using the theorem, $r = 1$ , $n = 6$ , and $θ = π/12$ .

Step:

$z^6=1^6\left( \cos\frac{6\pi}{12}+i\sin\frac{6\pi}{12} \right)$