On some trigonometric power sums (Q1608170)
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scientific article; zbMATH DE number 1779107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some trigonometric power sums |
scientific article; zbMATH DE number 1779107 |
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On some trigonometric power sums (English)
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12 August 2002
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Some trigonometric identities are established, using the generating function method. Typical examples are: \(\sum^{n-1}_{k=1} \tan^2({k \pi\over n})= n(n-1)\), \(\sum^{n-1}_{k=1} \tan^4({k\pi \over n})= \frac 13 n(n-1) (n^2+n-3)\). The computer algebra system maple is used to carry out the complex calculations.
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trigonometric
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sums
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identity
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