for this problem recall the formula for polar to rectangular conversion is
[tex]x = r \cos(theta) [/tex]
[tex]y = \sin(theta) [/tex]
and the polar coordinates are in the form
note: the dot is a substitute for the comma
[tex](r.theta)[/tex]
so to find our coordinates we just need to plug our values of theta in
[tex]x = \cos( \frac{2\pi}{3} ) [/tex]
[tex]y = \sin( \frac{2\pi}{3} ) [/tex]
simplify and we get this as our final answer
[tex]( \frac{ - 1}{2} . \frac{ \sqrt{3} }{2} )[/tex]
