Question

What is the value of `tan(pi/3)`?

Answer 1

Have a look if it helps:

Where I used Pythagoras’s Theorem to get `x` and the fact that `tan(x)=sin(x)/cos(x)`

Answer 2

The angles of an equilateral triangle have angles of `pi/3` (radians)

From the diagram below (which uses the Pythagorean Theorem for the value `sqrt(3)`) and the definition of `tan(..)` we can see that
`tan(pi/3) = sqrt(3)`