Proof, that determinant (with n rows and columns)(adsbygoogle = window.adsbygoogle || []).push({});

| cosx 1 0 0 ... 0 0 |

| 1 2cosx 1 0 ... 0 0 |

| 0 1 2cosx 1 ... 0 0 |

| 0 0 1 2cosx ... 0 0 | = cos nx

|.......................... |

| 0 0 0 0 ... 2cosx 1 |

| 0 0 0 0 ... 1 2cosx |

The main proble for me is to evaluate this determinant.

Do you have any ideas?

Thanks for help.

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# Determinant with cosines

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