Question

Find the exact value of sin, cos, and tan while simplifying all roots.

Answer 1

$\begin{gathered} \sin(-240)=\frac{\sqrt{3}}{2} \\ cos(-240)=-\frac{1}{2} \\ tan(-240)=\sqrt{3} \end{gathered}$

Explanation

to solve this , we can use the unit circle

$\begin{gathered} (x,y) \\ x\text{ component si cosine of the angle} \\ \text{y is the y component } \end{gathered}$

Step 1

check in the unit circle the coordinates for thector makin -240° ( or 120°)

so,the answer is

$\begin{gathered} \sin(-240)=\frac{\sqrt{3}}{2} \\ cos(-240)=-\frac{1}{2} \\ tan(-240)=\sqrt{3} \end{gathered}$

I hope this helps you this he