Exact value of tan 2pi/3

Yogesh G asked Sep 28, 2023

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Yogesh G asked Sep 28, 2023

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9 votes

Given:

$\tan(2\pi)/(3)$

Find-:

Exact value

Step-by-step explanation -

So, the value is:

$=\tan(2\pi)/(3)$
$\begin{gathered} =\tan(2\pi)/(3) \\ \\ \pi=180\text{ then,} \\ \\ =\tan((2*180)/(3)) \\ \\ =\tan(120) \end{gathered}$

So value is:

$\tan(120)=-√(3)$

Mattimatti answered Oct 2, 2023

2.3k points

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