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Sum of series sin(kx/n)



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The solution

You have entered [src]
  n           
 ___          
 \  `         
  \      /k*x\
   )  sin|---|
  /      \ n /
 /__,         
k = 1         
$$\sum_{k=1}^{n} \sin{\left(\frac{k x}{n} \right)}$$
Sum(sin((k*x)/n), (k, 1, n))
The answer [src]
  n           
 ___          
 \  `         
  \      /k*x\
   )  sin|---|
  /      \ n /
 /__,         
k = 1         
$$\sum_{k=1}^{n} \sin{\left(\frac{k x}{n} \right)}$$
Sum(sin(k*x/n), (k, 1, n))

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