taiko3r4

2022-12-30

How to find the exact value for $\mathrm{tan}\left(120°\right)?$

passable355

Expert

the value of by solving for $\mathrm{tan}\left(120°\right)$:
Given: $\mathrm{tan}\left(120°\right)$
$\mathrm{tan}\left(120°\right)=\mathrm{tan}\left(180°-60°\right)$
using identity $\mathrm{tan}\left(180°-A\right)=-\mathrm{tan}\left(A\right)$
$\mathrm{tan}\left(180°-60°\right)=-\mathrm{tan}\left(60°\right)\mathrm{tan}\left(120°\right)=-3$
Hence, $\mathrm{tan}\left(120°\right)=-3$ .

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