How do you simplify the expression $\frac{1}{\cot x}$ ?

Simplifying the given trigonometric expression:

The given trigonometric expression is $\frac{1}{\cot x}$.

By using the reciprocal identities, $\cot x$ as reciprocal of $\tan x$.

Hence, by replacing $\cot \mathrm{x}$ in terms of $\tan x$:

$\begin{array}{rcl}\frac{1}{\cot x}& =& \frac{1}{{\displaystyle \frac{1}{\tan x}}}\\ & \Rightarrow & \frac{1}{\cot x}=\tan x\end{array}$

Therefore, the trigonometric expression, $\frac{\mathbf{1}}{\mathbf{cot}\mathbf{}\mathbf{x}}\mathbf{=}\mathbf{tan}\mathbf{}\mathit{x}$.