Because the tangent is a function of with the angle as its argument.
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Angle a, by itself has no value. You must first assign a value to a to get the value of tan a.
In mathematics, "tan" refers to the tangent function, which calculates the ratio of the opposite side to the adjacent side in a right triangle for a given angle. On the other hand, "tan⁻¹" (or arctan) is the inverse tangent function, which takes a ratio and returns the angle whose tangent is that ratio. Essentially, while tan gives you the tangent of an angle, tan⁻¹ helps you find the angle when you know the tangent value.
The inverse tangent, denoted as arctan or tan^(-1), of 1.4737 is approximately 56.05 degrees when measured in degrees or approximately 0.980 radians when measured in radians. This value represents the angle whose tangent is 1.4737. In trigonometry, the inverse tangent function helps determine the angle when the tangent ratio is known.
To obtain the percent value for an angle (in slopes and inclines), calculate the tangent of that angle in degrees, then multiply the figure by 100.
Tangent is a function that can have any real value. Therefore one tangent can take any value in (-∞, ∞).