Damion Ellis

2023-02-18

How do I find the value of cot 330?

Jayden Landry

We have explanation: $\mathrm{cot}330=\mathrm{cot}360-30=\mathrm{cot}-30=-\mathrm{cot}30=$

Explanation:
The fact that
$\mathrm{cot}\left(330\right)=\frac{1}{\mathrm{tan}\left(330\right)}$
Hence $\mathrm{tan}\left(330\right)=\mathrm{tan}\left(-30\right)$
$\mathrm{tan}\left(-30\right)=-\mathrm{tan}30=-\frac{\mathrm{sin}30}{\mathrm{cos}30}=-\frac{1}{\sqrt{3}}$
Consequently, we have $\mathrm{cot}\left(330\right)=-\sqrt{3}$

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