Calculating $\sum_{k=0}^{n}\sin(k\theta)$
5080
How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?
155439
How can I calculate this Riemann sum?
107067
Finding the argument of $z=1-\cos(2\theta)-i\sin(2\theta)$
115433
Find the summation of given expression: $\sum_{k=1}^n k^3\binom nk$
61850
Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$
913
Evaluating $\sum_{n=0}^{\infty}{\sin^{3}\left(3^{n}\right) \over 3^{n}}$
74117
Find the sum of series $\sum_{n=0}^{\infty}\frac{z^{kn}}{(kn)!}$
150928
Summation of a trigonometric series - $\frac{\sin n}{n}$
101030
Integration $I_n=\int _0^{\pi }\sin^{2n}\theta d\theta $
119552
Summing Finitely Many Terms of Harmonic Series: $\sum_{k=a}^{b} \frac{1}{k}$
48200
Simplify $\sum_{i=0}^n (i+1)\binom ni$
150822
Finding $\sum_{k=0}^{n-1}\frac{\alpha_k}{2-\alpha_k}$, where $\alpha_k$ are the $n$-th roots of unity
94784
$\sum_{k=-m}^{n} \binom{m+k}{r} \binom{n-k}{s} =\binom{m+n+1}{r+s+1}$ using Counting argument
133955
Compute: $\sum_{k=1}^{\infty}\sum_{n=1}^{\infty} \frac{1}{k^2n+2nk+n^2k}$
146035
Proving $\sum_{x=0}^{n-1} \cos\left(k +x{2\pi\over n}\right) =\sum_{x=0}^{n-1} \sin\left(k +x{2\pi\over n}\right) =0. $
119147
How to prove that $\sum_{n=1}^{\infty}\frac{|\sin{(n\theta_0)}|}{n}$ diverges for given $\theta_0\in (0,\pi)$?
106552
Find the sum of $\sum \frac{1}{k^2 - a^2}$ when $0<a<1$