Calculate: cos(-1)^{-1}

Expression: ${\cos\left({-1}\right)}^{-1}$

Simplify the expression using the symmetry of trigonometric functions

${\cos\left({1}\right)}^{-1}$

Any expression raised to the power of $-1$ equals its reciprocal

$\frac{ 1 }{ \cos\left({1}\right) }$

Use $\frac{ 1 }{ \cos\left({t}\right) }=\sec\left({t}\right)$ to transform the expression

$\begin{align*}&\sec\left({1}\right) \\&\approx1.85082\end{align*}$