Simplifying expressions using Euler's formula

  • #1
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1

Homework Statement:

Simplify the following expression using euler's formula. (The problems in the pic)

Relevant Equations:

e^i Θ = cos Θ+isin Θ
1590920195151.png

The following is the questions given. I solved the first one, which steps are shown below.
1590920242988.png

But I am not sure if this is how the question wants me to solve the problem. Would you tell me if the way I solved the problem is the proper way of simplifying the expression using euler's formula?

Also, I did try problem b, but I am not sure how to proceed or where to use the euler's formula.
1590920547610.png

Thank you for your help!
 

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  • #2
PeroK
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Using Euler's formula means expressing the the complex numbers in polar form, like you did for question a).
 

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