Find the values of : tan 105° - Vidyadip

Question

Find the values of : tan 105°

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Answer

$\begin{aligned} & =\frac{\tan 60^{\circ}+\tan 45^{\circ}}{1-\tan 60^{\circ} \tan 45^{\circ}} \\ & =\frac{\sqrt{3}+1}{1-(\sqrt{3})(1)}\end{aligned}$
$\begin{aligned} & =\frac{\sqrt{3}+1}{1-\sqrt{3}}\end{aligned}$

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