Use reference angles to find the exact value of the expression tan (-29π/6). Show your work.
The reference angle for -29π/6 is π/6.
Since tangent is positive in the second and fourth quadrants, we can use the reference angle π/6 to find the exact value.
In the second quadrant, the tangent is negative, so tan(-29π/6) = -tan(π/6).
The tangent of π/6 is √3 / 3, so tan(-29π/6) = -√3 / 3.
Therefore, the exact value of tan(-29π/6) is -√3 / 3.