Since you want to solve this using a calculator you have to options, if you have a advance calculator you can just directly input the nnumber and then it will give you the answer.
While using a standard calculator, we must first convert the radian measurement into degree measurement to find the sin, cos and tan of an angle. Let's start;
First, we must conver 5π/3 into degree measurement to do that we just have to multiply our converting factor 180/π (since 180° is equal to π)
[tex]\frac{5\pi}{3}(\frac{180}{\pi})=\frac{900\pi}{3\pi}=300[/tex]
Therefore 5π/3 is just equal to 300°.
Then using a CALCULATOR you can directly input the following;
[tex]\begin{gathered} \sin 300^{\circ}=-\frac{\sqrt[]{3}}{2}=-0.866 \\ \cos 300^{\circ}=\frac{1}{2}=0.5 \\ \tan 300^{\circ}=-\sqrt[]{3}=-1.732 \end{gathered}[/tex]
