You'll actually need the half-angle formulas
In this case, .
Find the "a + ib" form of the complex numbers whose modulus and principle argument are:
|z| = 3, arg(z) = Pi/8
I'm certain they want the solution as an exact value, so Pi/8 is going to be a pain to find. I'm thinking I have to use the double-angle formulas, but I'm doing something wrong...
Clearly that isn't any easier. Have any suggestions? Thanks.