The diagram shows the values of tangent for acute angles.[br]We can set the adjacent leg of the right triangle to be 1, which would mean that the opposite side would have a length equal to [math]\tan\theta[/math]. As we adjust [math]\theta[/math], we can see how its tangent changes, shown by the length of the opposite side.
What happens as [math]\theta[/math] gets closer to [math]0^\circ[/math]?
[math]\tan\theta[/math] approaches 0.
What happens as [math]\theta[/math] gets closer to [math]90^\circ[/math]?
[math]\tan\theta[/math] approaches [math]\infty[/math]