SOLUTION: Hello =) I really need help with this problem! If you could help me out that would be great! DIRECTIONS: write the complex number is standard form {{{ (sqrt (2) / 2 + (sqr

Question 158029This question is from textbook
: Hello =)
I really need help with this problem! If you could help me out that would be great!
DIRECTIONS: write the complex number is standard form

I hope i wrote that right. It's the quantity the squareroot of 2 over 2 plus the squareroot of 2 over 2 times i to the 4th power. I know how to solve it I think but I dont know how to put it in standard form??
Help me out please! Thank you!!! This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that you are in a trig class, and that you have the unit circle with you. Looking at the unit circle, we see that and

Start with the given expression

Replace with and

Use De Moivre's Theorem to expand

Multiply

Take the cosine of to get -1 and take the sine of to get 0

Simplify

So

So the answer is in standard form where and
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