Question

What is the exact value of $\cot \left(60°\right)$?

Answer 1

Find the exact value $\cot \left(60°\right)$.

We know that,$\mathit{c}\mathit{o}\mathit{t}\left(\theta \right)\mathbf{=}\frac{\mathbf{1}}{\mathbf{t}\mathbf{a}\mathbf{n}\left(\theta \right)}$.

And the trigonometry conversion table gives$\tan \left(60°\right)=\sqrt{3}$.

Use the above-mentioned values, to calculate the exact value of $\cot \left(60°\right)$ :

$\begin{array}{rcl}\cot \left(60°\right)& =& \frac{1}{\tan \left(60°\right)}\\ & \Rightarrow & \cot \left(60°\right)=\frac{1}{\sqrt{3}}\end{array}$

Hence, the required exact value of $\cot \left(60°\right)$ is $\frac{1}{\sqrt{3}}$