1. ## Euler form

Hi,

Simply the following expressions fully, working by hand. Give your answer in the form a+bi.

[4*cos(pie/12) + 4i*sin(pie/12)]^6

If there is anything unclear in the question, let me know, thanks in advance.

2. Originally Posted by Moon Hoplite
Hi,

Simply the following expressions fully, working by hand. Give your answer in the form a+bi.

[4*cos(pie/12) + 4i*sin(pie/12)]^6

If there is anything unclear in the question, let me know, thanks in advance.
From de Moivre's Theorem: $4^6 \text{cis} \left( 6 \cdot \frac{\pi}{12}\right)$.

You can convert this to cartesian form ....