Question

Use De Moivre's theorem to write the complex number in standard form.?
[square root of 2(cos(10 degrees)+isin(10 degrees))]^6

Answer 1

https://en.wikipedia.org/wiki/De_Moivre%27s_formula

Answer 2

\(\large [ \ \sqrt{ 2(cos10^o+i \ sin10^o)} \ \ ]^6\)

you can start by combining the roots

Answer 3

so like sin 10^6

Answer 4

what's \((\sqrt{a} )^6 \) ?

if you are playing with DeMoivre, you will know this easily...