Question

Evaluate the exact value: tan(pi/6)

Answer 1

sqrt{3}/3

Answer 2

Steps?

Answer 3

1/6(180) = 30
tan = sin/cos
sin = 1/2
cos = sqrt{3}/2
(1/2)/(sqrt{3}/2) = sqrt{3}/3

Answer 4

find
\[\frac{\pi}{6}\] on the unit circle on the last page of the cheat sheet. second coordinate is sine first coordinate is cosine. take
\[\frac{\sin(\frac{\pi}{6})}{\cos(\frac{\pi}{6})}\]

Answer 5

Oh my goodness satellite! Thank you that's an amazing tool

Answer 6

i wish i had made it myself! i was starting to and then i found this as thought "why bother" just copy it. if you loose it google "paul's notes" and you will find some good cheat sheets and notes as well

Answer 7

*lose

Answer 8

\[\large \tan\left(\frac{\pi}{6}\right)\]



\[\large \frac{\sin\left(\frac{\pi}{6}\right)}{\cos\left(\frac{\pi}{6}\right)}\]



\[\large \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}\]



\[\large \frac{1}{2}\times\frac{2}{\sqrt{3}}\]



\[\large \frac{1}{\sqrt{3}}\]



\[\large \frac{\sqrt{3}}{3}\]

So \[\large \tan\left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{3}\]

Answer 9

Wonderful, thank you very much. Both of you!