In the mathematics, trigonometric function is the real function which relate an angle of right angled triangle to ratios of two sides.

Here the angle is in radian, so we have to change in the degree to calculate the value of \(\displaystyle{\csc{{1}}}\).

To change the value of angle ,radian into degree, multiply by \(\displaystyle\frac{{180}^{\circ}}{\pi}\)

So, the expression becomes,

\(\displaystyle{\csc{{1}}}={\csc{{\left({1}\cdot{180}^{\circ}\pi\right)}}}\)

\(\displaystyle={{\csc{{\left(\frac{{180}}{\pi}\right)}}}^{\circ}}\)

\(\displaystyle={\csc{{\left({57.2957}\right)}}}\)

\(\displaystyle={1.1883}\)

Hence, the value trigonometric function \(\displaystyle{\csc{{1}}}\) to four decimal places is 1.1883.