Final answer:
The reference angle of tan(√3) is approximately π/3.
Step-by-step explanation:
The reference angle of tan(√3) can be found by finding the angle whose tangent is the positive value of √3. In this case, tan(√3) is positive, so we are looking for an angle in the first or third quadrant.
The tangent function has a period of π, so we can find the reference angle by subtracting π from the angle until we get an angle between 0 and π. For tan(√3), we can subtract π to get an angle between 0 and √3.
Therefore, the reference angle of tan(√3) is approximately π/3, which is option a).