The tangent of 0 degrees is 0. This value can be understood by looking at the definition of the tangent function in trigonometry.
The tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle. When the angle is 0 degrees, the length of the opposite side is 0 while the length of the adjacent side is a non-zero value. Therefore, the ratio becomes:
tan(0) = opposite / adjacent = 0 / (non-zero value) = 0.
Additionally, on the unit circle, the tangent function can also be represented as the y-coordinate divided by the x-coordinate. At 0 degrees (or 0 radians), the coordinates are (1, 0), so:
tan(0) = y / x = 0 / 1 = 0.
In summary, no matter how you look at it, the tangent of 0 degrees is always 0.