Tangent
A line in the plane of a circle that intersects the circle in exactly 1 point
In trigonometry, tangent (abbreviated as tan) is one of the six trigonometric functions that relates the ratio of the length of the side opposite an acute angle in a right triangle to the length of the adjacent side.
The tangent of an angle can be calculated by dividing the length of the opposite side by the length of the adjacent side. For example, the tangent of a 30-degree angle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle.
The tangent function has important applications in various fields such as physics, engineering, and surveying. It can be used to determine the height of trees, buildings, or other structures without actually measuring them directly. It is also used in navigation to calculate the distance between two points or the direction of a ship or airplane.
The tangent function has some important properties, such as being periodic, continuous, and monotonic in certain intervals. It also has some limitations such as not being defined for certain angles and having undefined values for certain inputs. In addition, trigonometric identities involving tangent can be derived and used to simplify and solve more complex problems.
More Answers:
Minor Arcs In Geometry And Trigonometry: Definitions, Symbols, And Applications.Central Angles In Geometry: Calculating Arc Lengths And Segment Lengths In Circles
The Point Of Tangency: Key Concepts In Calculus, Geometry, And Engineering Optimization