Evaluate the exact value: tan (pi/6)

Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ

Its long leg will measure = x = √1-y² = sin (2Θ)

Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg

Tan (pi/6) = 1/3 √3