Question

In Problem, use a calculator to find the value of each expression rounded to two decimal places.

$\mathrm{co}{t}^{-1}\left(-\sqrt{5}\right)$

Short answer

Value of the expression$\mathrm{co}{t}^{-1}\left(-\sqrt{5}\right)$islocalid="1646553713675" $\begin{array}{rcl}& & -0.42\end{array}$.

Step-by-step solution

Step 1. Given information

An expression is$co{t}^{-1}\left(-\sqrt{5}\right)$.

Step 2. Value of the expression.

Consider the expression $co{t}^{-1}\left(-\sqrt{5}\right)$.

Use the formula: localid="1646553645353" $co{t}^{-1}\left(x\right)={\tan }^{-1}\left(\frac{1}{x}\right)$.

Put $x=-\sqrt{5}$.

So,

localid="1646553702817" $\begin{array}{rcl}co{t}^{-1}\left(-\sqrt{5}\right)& =& {\tan }^{-1}\left(\frac{1}{-\sqrt{5}}\right)\\ & =& -0.42\end{array}$