Damion Ellis

2023-02-18

How do I find the value of cot 330?

Jayden Landry

Beginner2023-02-19Added 7 answers

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

Braden Miranda

Beginner2023-02-20Added 1 answers

Explanation:

The fact that

$\mathrm{cot}\left(330\right)=\frac{1}{\mathrm{tan}\left(330\right)}$

Hence $\mathrm{tan}\left(330\right)=\mathrm{tan}(-30)$

$\mathrm{tan}(-30)=-\mathrm{tan}30=-\frac{\mathrm{sin}30}{\mathrm{cos}30}=-\frac{1}{\sqrt{3}}$

Consequently, we have $\mathrm{cot}\left(330\right)=-\sqrt{3}$

The fact that

$\mathrm{cot}\left(330\right)=\frac{1}{\mathrm{tan}\left(330\right)}$

Hence $\mathrm{tan}\left(330\right)=\mathrm{tan}(-30)$

$\mathrm{tan}(-30)=-\mathrm{tan}30=-\frac{\mathrm{sin}30}{\mathrm{cos}30}=-\frac{1}{\sqrt{3}}$

Consequently, we have $\mathrm{cot}\left(330\right)=-\sqrt{3}$