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Glite Dictionary
cotangent curve

cotangent curve

9.2
A graph showing the cotangent function, repeating every pi and with vertical lines it never reaches
  • noun
  • /ˈkoʊˌtænʤənt kɜrv/
  • Specialized
translation icon : curva de cotangente
  • The cotangent curve rapidly decreases and increases as it approaches its vertical asymptotes.

Examples

  • The cotangent curve repeats itself every π units on the x-axis.

  • Graphing a cotangent curve helps visualize how the cotangent function behaves across its period.

  • The cotangent curve is periodic.

  • I graphed the cotangent curve for my math assignment.

  • The cotangent curve oscillates between positive and negative values, illustrating the behavior of the cotangent function.

  • To understand trigonometric functions better, we can analyze the cotangent curve and its properties.

  • In mathematics class, the teacher explained how to sketch the cotangent curve by plotting key points and showing its asymptotes.

Surface Forms

cotangent curve singular
cotangent curves plural

Morphology

cotangent + curve

The compound is compositionally regular: 'cotangent' names a specific trigonometric ratio/function and 'curve' denotes its graph, so a learner who knows both constituents can infer this refers to the graph of the cotangent function. This is a technical but transparent noun–noun combination following common patterns (function name + curve) found across languages, so the meaning is directly derivable from the parts.

Etymology

Cotangent curve names the wavy graph of the function called cotangent. The word cotangent comes from 'co-' meaning 'partner' and 'tangent', because it was seen as the partner of the tangent in a right-angle pair. So, the cotangent curve is the curve that shows that partner's values and makes a repeating wavy pattern with jumps where values go very high or very low.