### Home > PC > Chapter 11 > Lesson 11.2.2 > Problem11-86

11-86.

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

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

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