Question

Exact value of tan 2pi/3

Answer 1

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)`