Question

calculate the product and express the answer in the form a+bi
{cos(pi/12) + isin(pi/12)}^6

Answer 1

multiply the angle by 6 and then convert

Answer 2

you get
\[\cos(\frac{\pi}{2})+i\sin(\frac{\pi}{2})\]

Answer 3

then since \(\cos(\frac{\pi}{2})=0\) and \(\sin(\frac{\pi}{2})=1\) you are left with \(i\)

Answer 4

or if you want to be silly you can write \(0+i\)
hope it is clear that this is actually rather easy, since all it requires is multiplying the angle by 6

Answer 5

thanks