# Question #c5258

##### 1 Answer

Jul 4, 2017

Use the fact that

#### Explanation:

Let j be the imaginary unit.

Since

we have

By the Product Rule for Exponents, this is equal to

Now

Now use the trig form:

In this case, a = 4 and c = -1.

Since cosine is EVEN and sine is ODD, we have...

Don't forget to multiply by 1024 to obtain the final answer in the standard form. You should be able to easily identify the real and imaginary parts now.