Findthe valu of $tan 10 tan 15 tan 75 tan 80$

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Solution

$tan 10 tan 15 tan 75 tan 80$
$= cot (90 - 10) cot (90 - 15) tan 75 tan 80$
$= cot 80 tan 80 cot 75 tan 75$
$= 1$

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