Angle Between Tangents to a Parabola

This GeoGebra example dynamically demonstrates the angle between two tangents to a parabola at a point, typically one tangent at the point and another related to the focus or directrix. The core mathematical concepts include the tangent properties of a parabola, the geometric roles of focus and directrix, and the relationship between the angle of two lines and their slopes. The construction uses commands such as Directrix, Focus, PointIn, Tangent, and Angle, with objects including the parabola p, focus F, point P, tangents g and h, and measured angles α and β. It is suitable for high school analytic geometry or introductory calculus, helping students visualize how the tangent angle varies with the parabola's parameters and reinforcing the connection between algebraic equations and geometric intuition.