What is result of this summation:sum(k=1, to n) sin(n*pi/k)I

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What is result of this summation:

sum(k=1, to n) sin(n*pi/k)

I put it in wolfram alpha but it doesn't give me the solution.
Where is the problem?
 
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try using sinθ = Im(e) :wink:
 


tiny-tim said:
try using sinθ = Im(e) :wink:

No, still doesn't calculate it.
 


Emilijo said:
What is result of this summation:

\sum_{k=1}^n \sin(n \pi / k)

I put it in wolfram alpha but it doesn't give me the solution.
Where is the problem?

tiny-tim said:
try using sinθ = Im(e) :wink:

Emilijo said:
No, still doesn't calculate it.

first of all, are you sure it isn't

\sum_{k=1}^n \sin(k \pi / n)

instead?

second, in any case, complex numbers and variables, Euler's formula, and the sum of a geometric series are three mathematical methods that are your friends.
 

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