Trigonometrisesti

Trigonometrisesti is an adverb in Finnish derived from the adjective trigonometrinen (trigonometric). It describes the manner in which something is approached or derived using trigonometry. In mathematical writing, phrases like 'trigonometrisesti määritelty' ('defined trigonometrically') or 'trigonometrisesti ratkaistu' ('solved trigonometrically') appear to indicate that an object, relationship, or method relies on trigonometric functions, identities, or theorems such as sine, cosine, tangent, and the Pythagorean identity. The term encompasses computation of angles and lengths in triangles, analysis of periodic phenomena, and representations of signals via sine and cosine waves. For example, a triangle's side ratio derived from the law of sines may be described as trigonometrically determined. In physics and engineering, trigonometrically based models express waveforms, angular velocity, and rotational dynamics. The word is widely used in Finnish mathematical texts but is less common in other languages, where equivalent phrases are 'trigonometric' or 'trigonometrically' in English. The usage parallels terms such as 'algebraically' and 'geometrically', offering a concise label for methods that rely on trigonometric functions and identities rather than purely algebraic or geometric reasoning. It should be noted that 'trigonometrisesti' is not a mathematical term with a strict, separate theory; rather, it is a modality marker indicating the toolset (trigonometric) applied in analysis or construction.