How to raise the number to the indicated power and express in trigonometric notation.
(2(cos3/7π + i sin3/7π))²

Respuesta :

[tex](r(\cos\theta+i\sin\theta))^{2}=r^{2}(\cos 2\theta+i\sin 2\theta)[/tex]

We have [tex]r=2[/tex] and [tex]\theta=\frac{3}{7}\pi[/tex]
So we get:
[tex](2(\cos\frac{3}{7}\pi+i\sin\frac{3}{7}\pi))^{2}=4(\cos\frac{6}{7}\pi+i\sin\frac{6}{7}\pi)[/tex]