Question

what is the value of the expression? tan 2pie/3

Answer 1

it is
\[\frac{\sin(\frac{2\pi}{3})}{\cos(\frac{2\pi}{3})}\] so you need to know those two numbers to start

Answer 2

and what do you do next

Answer 3

find \(\sin(\frac{2\pi}{3})\) and \(\cos(\frac{2\pi}{3})\)

Answer 4

look at the unit circle on the last page of the attached cheat sheet
find the point on the unit circle corresponding to the angle \(\frac{2\pi}{3}\)
the first coordinate is cosine, the second coordinate is sine

Answer 5

so wats the answer

Answer 6

sqrt3?

Answer 7

1 over sqrt3?

Answer 8

@satellite73

Answer 9

none of those

Answer 10

if you look at the cheat sheet you should see that at \(\frac{2\pi}{3}\) the first coordinate is \(-\frac{1}{2}\) and the second coordinate is \(\frac{\sqrt{3}}{2}\)

Answer 11

take the second coordinate, divide it by the first
the 2's will cancel, but you have a minus sign there, so the correct answer is \(-\sqrt{3}\)