tan 0°
The tangent function (tan) is a trigonometric function that relates the ratio of the length of the opposite side to the length of the adjacent side of a right triangle
The tangent function (tan) is a trigonometric function that relates the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In simpler terms, tan(theta) is equal to the length of the side opposite to the angle theta divided by the length of the side adjacent to the angle theta.
When we consider the angle 0 degrees, we need to analyze the values of the sides of a right triangle. In the case of a triangle with a 0 degree angle, the non-hypotenuse sides would overlap, resulting in a degenerate triangle.
Since the tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side, and in this case there is no adjacent side (since the triangle is degenerate), the tangent of 0 degrees is undefined or “undefined by convention.”
In practical terms, you could interpret the tangent of 0 degrees as approaching infinity or as having no real value, as it represents a geometric situation that does not exist in reality.
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