Given the 75°-15° right triangle:
We know that the tangent is the division between the opposite leg and the adjacent leg. From the triangle, the opposite leg (for 75°) is √(3)+1 and the adjacent leg is √(3)-1. Finally, the tangent of 75° is:
[tex]\tan75\degree=\frac{\sqrt{3}+1}{\sqrt{3}-1}[/tex]
