Definition

1. Noun:
   • The branch of mathematics that deals with the relationships between the sides and angles of triangles: "Trigonometry" is the mathematical study of triangles, specifically the relationships between their angles and side lengths. It is fundamental to fields like geometry, physics, and engineering.
   • The study of trigonometric functions: "Trigonometry" involves the analysis and application of functions such as sine, cosine, and tangent, which are defined based on angles and ratios of sides in right-angled triangles.

Usage Examples

• Noun:
  • Students often study trigonometry in high school as part of their mathematics curriculum.
  • Architects use trigonometry to calculate structural loads and angles in their designs.
  • The principles of trigonometry are essential for understanding wave patterns in physics.

Advanced Usage

• "Spherical trigonometry": A branch of trigonometry that deals with triangles drawn on the surface of a sphere, crucial for astronomy and navigation.
  • Celestial navigation relies heavily on the calculations of spherical trigonometry.

Variants and Related Words

• Trigonometric (adj): Relating to trigonometry.
  • The trigonometric functions are sine, cosine, and tangent.
• Trigonometrician (n): A person who is an expert in trigonometry. (This is a rare, formal term).

Synonyms

• Triangle mathematics: (Descriptive synonym)
• Goniometry: (A closely related, more specific term for the measurement of angles, often used in conjunction with trigonometry).

Related Phrases and Concepts

• "Solving a triangle": Using trigonometric principles to find unknown angles or side lengths of a triangle.
  • The first step in the survey was to solve the triangle formed by the three observation points.
• "Trigonometric identity": An equation involving trigonometric functions that is true for all values of the variables.
  • Proving trigonometric identities is a common exercise in advanced math classes.

Noun

1. the mathematics of triangles and trigonometric functions