complex analysis with sum [on hold]

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This exercice that I posted is based on complex numbers the first sum is simple we transform it to exponetial but in the second sum we have to use the first to calculate it but I don't know how to use it please help me and thank you



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complex-analysis summation




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put on hold as off-topic by Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier 18 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier
If this question can be reworded to fit the rules in the help center, please edit the question.












  • Please do not upload pictures but the formulas in your post. Moreover, you are more likely to get answers if you tell what you have already done.
    – Jonas Lenz
    22 hours ago










  • thank you for your advice
    – ahmed bennani
    22 hours ago










  • Look at the geometric sum $sum_k=0^nleft(frace^ixcos(x)right)^k=sum_k=0^nfrace^ikxcos^k(x)=sum_k=0^nfraccos(kx)+isin(kx)cos^k(x)=sum_k=0^nfraccos(kx)cos^k(x)+isum_k=0^nfracsin(kx)cos^k(x)$, and its real and imaginary parts.
    – spiralstotheleft
    22 hours ago










  • thank you i will try to use your answer
    – ahmed bennani
    21 hours ago










  • thank you this is the solution of the exercice
    – ahmed bennani
    20 hours ago














up vote
-1
down vote

favorite












This exercice that I posted is based on complex numbers the first sum is simple we transform it to exponetial but in the second sum we have to use the first to calculate it but I don't know how to use it please help me and thank you



enter image description here




complex-analysis summation




share|cite|improve this question













put on hold as off-topic by Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier 18 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier
If this question can be reworded to fit the rules in the help center, please edit the question.












  • Please do not upload pictures but the formulas in your post. Moreover, you are more likely to get answers if you tell what you have already done.
    – Jonas Lenz
    22 hours ago










  • thank you for your advice
    – ahmed bennani
    22 hours ago










  • Look at the geometric sum $sum_k=0^nleft(frace^ixcos(x)right)^k=sum_k=0^nfrace^ikxcos^k(x)=sum_k=0^nfraccos(kx)+isin(kx)cos^k(x)=sum_k=0^nfraccos(kx)cos^k(x)+isum_k=0^nfracsin(kx)cos^k(x)$, and its real and imaginary parts.
    – spiralstotheleft
    22 hours ago










  • thank you i will try to use your answer
    – ahmed bennani
    21 hours ago










  • thank you this is the solution of the exercice
    – ahmed bennani
    20 hours ago












up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











This exercice that I posted is based on complex numbers the first sum is simple we transform it to exponetial but in the second sum we have to use the first to calculate it but I don't know how to use it please help me and thank you



enter image description here




complex-analysis summation




share|cite|improve this question













This exercice that I posted is based on complex numbers the first sum is simple we transform it to exponetial but in the second sum we have to use the first to calculate it but I don't know how to use it please help me and thank you



enter image description here





complex-analysis summation





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited 21 hours ago









Javi

2,1381525




2,1381525









asked 22 hours ago









ahmed bennani

51




51




put on hold as off-topic by Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier 18 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier
If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier 18 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Henrik, Jendrik Stelzner, Tyrone, José Carlos Santos, Arnaud Mortier
If this question can be reworded to fit the rules in the help center, please edit the question.











  • Please do not upload pictures but the formulas in your post. Moreover, you are more likely to get answers if you tell what you have already done.
    – Jonas Lenz
    22 hours ago










  • thank you for your advice
    – ahmed bennani
    22 hours ago










  • Look at the geometric sum $sum_k=0^nleft(frace^ixcos(x)right)^k=sum_k=0^nfrace^ikxcos^k(x)=sum_k=0^nfraccos(kx)+isin(kx)cos^k(x)=sum_k=0^nfraccos(kx)cos^k(x)+isum_k=0^nfracsin(kx)cos^k(x)$, and its real and imaginary parts.
    – spiralstotheleft
    22 hours ago










  • thank you i will try to use your answer
    – ahmed bennani
    21 hours ago










  • thank you this is the solution of the exercice
    – ahmed bennani
    20 hours ago
















  • Please do not upload pictures but the formulas in your post. Moreover, you are more likely to get answers if you tell what you have already done.
    – Jonas Lenz
    22 hours ago










  • thank you for your advice
    – ahmed bennani
    22 hours ago










  • Look at the geometric sum $sum_k=0^nleft(frace^ixcos(x)right)^k=sum_k=0^nfrace^ikxcos^k(x)=sum_k=0^nfraccos(kx)+isin(kx)cos^k(x)=sum_k=0^nfraccos(kx)cos^k(x)+isum_k=0^nfracsin(kx)cos^k(x)$, and its real and imaginary parts.
    – spiralstotheleft
    22 hours ago










  • thank you i will try to use your answer
    – ahmed bennani
    21 hours ago










  • thank you this is the solution of the exercice
    – ahmed bennani
    20 hours ago















Please do not upload pictures but the formulas in your post. Moreover, you are more likely to get answers if you tell what you have already done.
– Jonas Lenz
22 hours ago




Please do not upload pictures but the formulas in your post. Moreover, you are more likely to get answers if you tell what you have already done.
– Jonas Lenz
22 hours ago












thank you for your advice
– ahmed bennani
22 hours ago




thank you for your advice
– ahmed bennani
22 hours ago












Look at the geometric sum $sum_k=0^nleft(frace^ixcos(x)right)^k=sum_k=0^nfrace^ikxcos^k(x)=sum_k=0^nfraccos(kx)+isin(kx)cos^k(x)=sum_k=0^nfraccos(kx)cos^k(x)+isum_k=0^nfracsin(kx)cos^k(x)$, and its real and imaginary parts.
– spiralstotheleft
22 hours ago




Look at the geometric sum $sum_k=0^nleft(frace^ixcos(x)right)^k=sum_k=0^nfrace^ikxcos^k(x)=sum_k=0^nfraccos(kx)+isin(kx)cos^k(x)=sum_k=0^nfraccos(kx)cos^k(x)+isum_k=0^nfracsin(kx)cos^k(x)$, and its real and imaginary parts.
– spiralstotheleft
22 hours ago












thank you i will try to use your answer
– ahmed bennani
21 hours ago




thank you i will try to use your answer
– ahmed bennani
21 hours ago












thank you this is the solution of the exercice
– ahmed bennani
20 hours ago




thank you this is the solution of the exercice
– ahmed bennani
20 hours ago















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