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Concept

Tangent

For an acute angle of a right triangle, the tangent of is the ratio between the lengths of the opposite side and the adjacent side.
Sides of a right triangle labeled
The tangent of is written as

The trigonometric ratio expresses the ratio between the opposite side and the adjacent side. It does not give any indication about the actual measurement of the side lengths.
Right triangle with two vertices movable and the tangent of one acute angle is computed while the measures change
It should be noted that for a given angle, when the adjacent side and the opposite side lengths change, if their ratio stays the same, then the tangent, too, would stay the same.
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