Question

What is the exact value of Tan(pi/12)

Answer 1

The exact value of Tan(pi/12) is -(2 - sqrt(3)).

Step-by-step explanation:

The exact value of Tan(pi/12) is (2 - sqrt(3)).

First, we need to identify the reference angle, which is pi/6. Tan(pi/6) is equal to 1/sqrt(3) or sqrt(3)/3. Since the tangent function is negative in the second quadrant, we take the negative value of the reference angle:

Tan(pi/12) = -Tan(pi/6) = -(sqrt(3)/3) = -(2 - sqrt(3)).