Question

find the value of tan 15.tan 60.tan75

Answer 1

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$\tan(15) = \frac{( \sqrt{3} - 1) }{ \sqrt{3} + 1}$
$\tan(60) = \sqrt{3}$

$\tan(75) = \frac{( {3}^{2} + 1)}{ \sqrt{3} - 1}$

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Answer 2

$here \: is \: your \: answer \\ \\ \tan(15) \times \tan(60) \times \tan(75) \\ = > \tan(15) \times \tan(60) \times \tan(90 - 15) \\ = > \tan(15) \times \tan(60) \times \cot(15) \\ = > \tan(60) \times \tan(15) \times \cot(15) \\ = > \sqrt{3} \times 1 \\ = > \sqrt{3}$
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