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[Complex Numbers] Ex 3E Q15) | [Solved] (1 Viewer)

A1La5

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Hi everyone.

I am struggling with part B of this question. Part A and C are straightforward but for Part B I have no idea how to relate the given substitution to the information in the question. I'm sure there's something really obvious that I'm missing but I can't see the connection.

The answer to part A is:
1627723958449.png
 
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vishnay

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View attachment 31337

Hi everyone.

I am struggling with part B of this question. Part A and C are straightforward but for Part B I have no idea how to relate the given substitution to the information in the question. I'm sure there's something really obvious that I'm missing but I can't see the connection.

The answer to part A is:
View attachment 31338
Use de Moivre then equate imaginary
 

A1La5

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Alright, using the advice given I've gotten the sin(1/2@) in the denominator. After playing around for 30 minutes with the question I've managed to show everything except the sin(1/2n@) in the numerator. Where does the sin(1/2n@) come from..
 

idkkdi

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Alright, using the advice given I've gotten the sin(1/2@) in the denominator. After playing around for 30 minutes with the question I've managed to show everything except the sin(1/2n@) in the numerator. Where does the sin(1/2n@) come from..
sums to products
 

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