How to sum up these sine functions?
5080
How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?
18796
How to find the sum of the series $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$?
12196
Calculate Laurent series for $1/ \sin(z)$
73258
Power series summation
139221
Compute the series $\sum_{n=1}^{+\infty} \frac{1}{n^3\sin(n\pi\sqrt{2})}.$
91744
Proving sum of sines is periodic when ratio of their frequencies is rational using differentation
113885
Summing Up A 2D Array
24076
Evaluating limit (iterated sine function)
44649
Summing a series having a geometric component
148143
Find the sum to n terms as well as the sum to infinity of the series:
30480
Continued product in $\sin$ series
114414
Sum of $\sum_{k=1}^n\sin{k\theta}$
1317
Combining cosine or sine terms into a single cosine or sine
83332
Trig sum: $\tan ^21^\circ+\tan ^22^\circ+\cdots+\tan^2 89^\circ = \text{?}$
145500
Finite Series - reciprocals of sines
95739
Sum of tangent functions where arguments are in specific arithmetic series
27637
How can I apply Newton's sums to solve this problem?