Trigonometric functionsFunctions of an angleBasis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Inverse functionIn mathematics, the inverse function of a functionf (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only iff is bijective, and if it exists, is denoted by f−1.{\displaystyle f^{-1}.}For a function f:X→Y{\displaystyle f\colon X\to Y}, its inverse f−1:Y→X{\displaystyle f^{-1}\colon Y\to X} admits an explicit description: it sends each element y∈Y{\displaystyle y\in Y} to the unique element x∈X{\displaystyle x\in X} such that f(x) = y. As an example, consider the real-valued function of a real variable given by f(x) = 5x − 7.
Domain of a functionIn mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom(f){\displaystyle \operatorname {dom} (f)} or domf{\displaystyle \operatorname {dom} f}, where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be".
Sine and cosineIn mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.
MathematicsMathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish their properties, often expressed as theorems, formulas, and equations. Mathematics is used to model and solve problems in science, engineering, technology, economics, and everyday life.
EngineeringEngineering is the practice of systematically applying natural science and mathematics to design and improve systems. The traditional disciplines of engineering are civil, mechanical, electrical, and chemical. The academic discipline of engineering encompasses a broad range of more specialized subfields, and each can have a more specific emphasis for applications of mathematics and science.
NavigationProcess of monitoring and controlling the movement of a craft or vehicleMap reading with a paper trail mapNavigation is a field of study that focuses on the process of monitoring and controlling the movement of a craft or vehicle from one place to another. The field of navigation includes four general categories: land navigation, marine navigation, aeronautic navigation, and space navigation.*As an Amazon Associate I earn from qualifying purchases.