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Results tagged with finite-differences
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user 3684
3
votes
What summations of elementary trig functions are known to have (elementary) closed forms?
Here are some formulas from Jolley, Summation of Series:
$$\sum_1^n\sin k\theta=\sin{(n+1)\theta\over2}\sin{n\theta\over2}\csc{\theta\over2}\tag{417}$$
$$\sum_1^n\cos k\theta=\cos{(n+1)\theta\over2 …
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2
votes
What is the indefinite sum of tan(x)?
It's not in Jolley's Summation Of Series, which is pretty close to saying it doesn't exist. Have you tried Euler-Maclaurin summation to get an asymptotic series?
- 39.9k