Using Euler's formula to express e^(2-(pi/2)i) as a+ib

[DWill]

Homework Statement

Use Euler's formula to write the given expression in the form a + ib:

e^(2-(pi/2)i)

Homework Equations

Euler's formula: e^(it) = cos(t) + i*sin(t)

The Attempt at a Solution

I'm not sure how to get started on this one... am I supposed to get the expression into the e^(it) form somehow first?

 

[Dick]

Use the laws of exponentials to split it into e^2*e^(-i*pi/2) first. Now use Euler's formula on the second factor. The first one you know well.