Explanation:

The arc is \(\displaystyle{t}={\frac{{{5}\pi}}{{{12}}}}\)

x-cordinate is : \(\displaystyle{x}={\cos{{\left({\frac{{{5}\pi}}{{{12}}}}\right)}}}\)

y-coordinate: \(\displaystyle{y}={\sin{{\left({\frac{{{5}\pi}}{{{12}}}}\right)}}}\)

Calculator gives \(\displaystyle{x}={\sin{{\left({\frac{{{5}\pi}}{{{12}}}}\right)}}}={\sin{{75}}}={0.97}\)

and \(\displaystyle{y}={\cos{{75}}}={0.26}\)

The arc is \(\displaystyle{t}={\frac{{{5}\pi}}{{{12}}}}\)

x-cordinate is : \(\displaystyle{x}={\cos{{\left({\frac{{{5}\pi}}{{{12}}}}\right)}}}\)

y-coordinate: \(\displaystyle{y}={\sin{{\left({\frac{{{5}\pi}}{{{12}}}}\right)}}}\)

Calculator gives \(\displaystyle{x}={\sin{{\left({\frac{{{5}\pi}}{{{12}}}}\right)}}}={\sin{{75}}}={0.97}\)

and \(\displaystyle{y}={\cos{{75}}}={0.26}\)