Trig Problem

[lewch45]

Can someone help me with this problem?

Evaluate exactly sin (4pi/3). I need to include a drawing of the triangle in standard position with all the sides labeled along with the angle (4pi/3).

Any help would be appreciated!!

 

[pka]

Here is a big hint: \(\displaystyle \L
\frac{{4\pi }}{3} = \pi + \frac{\pi }{3}\)

 

[chinesesortsnout]

Then pi/3 is part of a 30/60/90 special right triangle. Just draw a line 30 degrees into Quad III, drop a perpendicular to the x-axis, and label your triangle.