Question

How do you find the exact value of `tan pi/3`?

Answer 1

This is doable without using any complicated identities.

`pi/3` radians `= 60^o`

`tan 60^o = (sin 60^o) / (cos 60^o) = (sqrt(3)/2)/(1/2) = cancel(2)*sqrt(3)/cancel(2) = sqrt(3) ≈ 1.732`