Question

What is the exact value of tan(pi/6)?

Answer 1

\[\tan \pi/6\]

Answer 2

\[\Large \tan (\frac \pi 6) \implies \frac{\sin (\frac \pi 6)}{\cos (\frac \pi 6)}\]
does that help?

Answer 3

i think so. Wouldn't that turn into \[(\sqrt{3}/2)/(1/2)\]

Answer 4

so the answer would be \[\sqrt{3}\]

Answer 5

Well, nevermind, that's another way to do it

Answer 6

hmm.. \[\sin(\frac \pi 6) = \frac 12\]isnt it?

Answer 7

You don't have to convert to sine and cosine to solve it

Answer 8

well yeah...there is a right triangle method...

Answer 9

you take the tangent of tan(pi/6)

Answer 10

Whats the right triangle method?

Answer 11

you remember your special triangles right? 30-60-90 triangle