Question

What is the exact value of tan 75°?A. (1-√3/3)/(1+√3/3)B. 1+3/1-43 c. 1+√3/1-√3D.1-√3/1+√3

Answer 1

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:

`\tan75\degree=(√(3)+1)/(√(3)-1)`