Tangent in geometry is defined as a line or plane that touches a curve or a curved surface at exactly one point. Learn about tangent definition along with properties and theorems.
Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the functions, it helps to give a name to each side of a right triangle: Opposite is always opposite the angle. And Adjacent is always next to the angle.
The trigonometric functions most commonly used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less commonly used.
The tangent is one of the six fundamental trigonometric functions in mathematics. In a right triangle, it is the ratio of the length of the side opposite a given angle to the length of the side adjacent to that angle.
There are many methods that can be used to determine the value for tangent such as referencing a table of tangents, using a calculator, and approximating using the Taylor Series of tangent.
Tangent appears constantly in geometry, physics, and engineering whenever you need to relate vertical and horizontal distances. For example, if you know the angle of elevation to the top of a building and your distance from it, tangent lets you calculate the building's height.
In Geometry, the tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency. In other words, it is defined as the line which represents the slope of a curve at that point.