trigonometriska

Trigonometriska is a Swedish adjective meaning "trigonometric," relating to trigonometry, the mathematical study of relationships between angles and sides of triangles. The term is used to describe concepts, functions, and identities that arise from trigonometry. In Swedish, common phrases include trigonometriska funktioner (the six trigonometric functions), trigonometriska identiteter (trigonometric identities), and trigonometriska samband (relationships between angles and sides).

Etymology and form: The root comes from Greek trigōn- “triangle” and metron “measure.” In Swedish, the base noun is trigonometri (the field of study), and the adjective forms include trigonometrisk (singular) and trigonometriska (plural). The form trigonometriska is commonly used before plural nouns, as in trigonometriska funktioner.

In mathematics, trigonometriska funktioner assign values to angles and are defined via the unit circle, with sine and cosine as foundational functions, and tangent, cotangent, secant, and cosecant as reciprocals. They are periodic with period 2π and satisfy identities such as sin^2(x) + cos^2(x) = 1 and angle-sum formulas. They underpin applications in physics, engineering, computer science, and signal processing.

Usage and context: The term is standard in Swedish-language mathematics education and technical writing. It is used across disciplines to describe anything related to trigonometry, from basic definitions to advanced identities and computational methods.