Question

How can you use trigonometric functions to simplify `7 e^( ( 3 pi)/8 i )` into a non-exponential complex number?

Answer 1

`7cos((3pi)/8)+7isin((3pi)/8)=`
`7/2(sqrt(2-sqrt(2))+isqrt(2+sqrt(2)))`

Explanation:

Use definition of `e^(i theta)` and half angles formulas.