Definition

Adjective: Of, relating to, or performed using trigonometry. This term describes anything that involves the mathematical study of triangles and the relationships between their sides and angles.

Usage

The adjective "trigonometric" is primarily used to modify nouns related to mathematical concepts, functions, and calculations. It specifies that something belongs to the branch of mathematics called trigonometry.

Examples

• The student solved the trigonometric equation using the sine and cosine identities.
• Understanding trigonometric ratios is fundamental for physics and engineering.
• This chapter covers advanced trigonometric applications in calculus.

Advanced Usage

• "Trigonometric series": An infinite series involving sine and cosine functions, central to Fourier analysis.
  • The signal was decomposed into its constituent frequencies using a trigonometric series.
• "Trigonometric substitution": A technique in integral calculus used to simplify integrals containing radical expressions.
  • We solved the integral by applying a clever trigonometric substitution.

Variants and Related Words

• Trigonometrical (adjective): An alternative, less common form with the same meaning as "trigonometric."
  • The trigonometrical tables were used before the invention of calculators.
• Trigonometry (noun): The branch of mathematics itself.
  • She is majoring in mathematics with a focus on trigonometry.
• Trigonometric function (noun phrase): A function (such as sine, cosine, tangent) of an angle.
  • The graph of each trigonometric function has a distinct wave-like shape.

Synonyms

• Pertaining to trigonometry: This is a direct descriptive synonym.

Related Phrases and Concepts

• "Trigonometric identity": An equation involving trigonometric functions that is true for all values of the variables.
  • The Pythagorean identity is one of the most fundamental trigonometric identities.
• "Inverse trigonometric function": A function (such as arcsine or arccosine) that reverses the action of a standard trigonometric function.
  • To find the angle, you must use an inverse trigonometric function.

Adjective

1. of or relating to or according to the principles of trigonometry
   • trigonometric function