Question

Give the sin, cos, and tan for the point on the Unit Circle at 5pi/3°

Answer 1

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)

`(5\pi)/(3)((180)/(\pi))=(900\pi)/(3\pi)=300`

Therefore 5π/3 is just equal to 300°.

Then using a CALCULATOR you can directly input the following;

`\begin{gathered} \sin 300^(\circ)=-\frac{\sqrt[]{3}}{2}=-0.866 \\ \cos 300^(\circ)=(1)/(2)=0.5 \\ \tan 300^(\circ)=-\sqrt[]{3}=-1.732 \end{gathered}`