Question

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

Answer 1

ok do you have your circle in front of you?

Answer 2

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

Answer 3

i somehow did it before like that?

Answer 4

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

Answer 5

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

Answer 6

do you get it?

Answer 7

hmm ok thx

Answer 8

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

Answer 9

ohhh thanks that helped a lot better, :)