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tan8 alpha-tan5 alpha-tan3 alpha=tan8 al...

tan8 alpha-tan5 alpha-tan3 alpha=tan8 alpha tan5 alpha tan3 alpha

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Show that tan8alpha-tan5alpha-tan3alpha=tan8alphatan5alphatan3alpha

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tan alpha+2tan2 alpha+4tan4 alpha+8cot8 alpha=cot alpha