query: Summation of finite trigonometric series
positive_passages.docid: 5080
positive_passages.text: How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?
negative_passages.docid: 103347
negative_passages.text: combinatorial proof of summation
negative_passages.docid: 140458
negative_passages.text: Infinite summation involving exponents
negative_passages.docid: 69478
negative_passages.text: Deducing a $\cos (kx)$ summation from the $e^{ikx}$ summation
negative_passages.docid: 71413
negative_passages.text: Proving complex series $1 + \cos\theta + \cos2\theta +... + \cos n\theta $
negative_passages.docid: 139221
negative_passages.text: Compute the series $\sum_{n=1}^{+\infty} \frac{1}{n^3\sin(n\pi\sqrt{2})}.$
negative_passages.docid: 5433
negative_passages.text: Finite Sum $\sum\limits_{k=1}^{m-1}\frac{1}{\sin^2\frac{k\pi}{m}}$
negative_passages.docid: 155951
negative_passages.text: Harmonic series sum approximation
negative_passages.docid: 138847
negative_passages.text: Tricky trigonometric sum evaluation
negative_passages.docid: 30895
negative_passages.text: Compute the sum of the series $\sum_{n=1}^{\infty} \frac{1}{n \cdot 2^n}$
negative_passages.docid: 131080
negative_passages.text: Geometric representation of the sum of a Geometric Series
negative_passages.docid: 42424
negative_passages.text: Riemann sum of $\sin(x)$
negative_passages.docid: 148883
negative_passages.text: Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
negative_passages.docid: 38741
negative_passages.text: Finding a general formula for summation
negative_passages.docid: 151384
negative_passages.text: Summation of series involving binomial coefficients and polynomial of degree at most n-1
negative_passages.docid: 95739
negative_passages.text: Sum of tangent functions where arguments are in specific arithmetic series
negative_passages.docid: 83229
negative_passages.text: Nested summations and their relation to binomial coefficients