Question

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

Answer 1

`\begin{gathered} \sin(-240)=(√(3))/(2) \\ cos(-240)=-(1)/(2) \\ tan(-240)=√(3) \end{gathered}`

Step-by-step 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)=(√(3))/(2) \\ cos(-240)=-(1)/(2) \\ tan(-240)=√(3) \end{gathered}`

I hope this helps you this he