trigonometrical

trigonometrical

A student uses a trigonometrical function to solve a geometry problem.

Definition

Adjective - Relating to trigonometry, which is the branch of mathematics dealing with the relationships between the sides and angles of triangles.

Usage Examples
  • (Relating to the mathematical study of triangles.)
  • (A table that lists sine, cosine, and tangent values.)
Advanced Usage
  • "Trigonometrical identity": an equation that is true for all values of the variables involved, such as sin²θ + cos²θ = 1.

    • The proof required the use of several trigonometrical identities. (The proof relied on equations from trigonometry.)
  • "Trigonometrical ratio": a ratio of the lengths of two sides of a right-angled triangle, such as sine, cosine, or tangent.

    • In a right triangle, the trigonometrical ratios are constant for a given angle. (The ratios of sides are fixed for each angle.)
Variants and Related Words
  • Trigonometry (noun): the mathematical study of triangles and their angles.
    • Trigonometry is essential for engineering and physics. (The field of study.)
  • Trigonometric (adjective): a more common variant of "trigonometrical", meaning the same thing.
    • The trigonometric functions are used in wave analysis. (Relating to trigonometry.)
Synonyms
  • Angular: relating to angles, but not specific to trigonometry.
    • The angular measurements were precise. (Relating to angles.)
  • Geometric: relating to geometry, which includes trigonometry.
    • Geometric calculations often involve trigonometrical principles. (Pertaining to geometry.)
Related Idioms
  • No common idioms or phrasal verbs exist for "trigonometrical," as it is a technical term.