Question

Value of tan 23° tan 35º tan 30° tan 55°
tan 67° is :​

Answer 1

Step-by-step explanation:

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Answer 2

Hey there!

Given,

$\tan 23^o .\tan 35^o \tan 30^o \tan 55^o\tan67^o\\\\=\tan 23^o. \tan 67^o.\tan35^o. \tan 55^o. \tan 30^o\\\\=\tan(90^o - 67^o).\tan 67^o. \tan (90^o - 55^o).\tan55^o .\tan30^o\\\\=\cot 67^o.\tan 67^o .\cot 55^o.\tan 55^o. \tan 30^o\\\\= \dfrac{1}{\tan 67^o}. \tan 67^o. \dfrac{1}{\tan 55^o}. \tan 55^o . \dfrac{1}{\sqrt{3}}\\\\= \dfrac{1}{\sqrt{3}}$