WILL GIVE MEDAL: solve tan(5pi/3). unit circle question, please help. the answer is - root 3, how do you get that?

Question

anonymous · Answer

ok do you have your circle in front of you?

anonymous · Answer

i don't use a unit circle, i use the 2 triangles

anonymous · Answer

i somehow did it before like that?

anonymous · Answer

If you look at your circle 5$$ \frac{ 5\pi }{ 3} $$ is equal to having the coordinates of $$\frac{ 1 }{ 2 }$$ $$-\frac{ \sqrt{3} }{ 2 }$$

anonymous · Answer

and you know that tan is b/a so than you get $$-\sqrt{3}$$

anonymous · Answer

do you get it?

anonymous · Answer

hmm ok thx

triciaal · Answer

this is a bit longer but it shows more
an angle of 5pi/3 is the angle of 5pi/3*180/pi = 300 degrees
for a circle same as -60 degrees
tan 300 = -tan 60 = -1.732 
for a rt triangle 30-60-90 the measure of the sides are in the ratio

anonymous · Answer

ohhh thanks that helped a lot better, :)