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Graphs of Secant and Cosecant Functions definitions

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Termini in questo insieme (15)

  • Cosecant
    Reciprocal identity of sine; undefined where sine is zero, resulting in vertical asymptotes on its graph.
  • Secant
    Reciprocal identity of cosine; undefined where cosine is zero, leading to vertical asymptotes on its graph.
  • Reciprocal Identity
    Relationship where one trigonometric function equals 1 divided by another, forming secant and cosecant from cosine and sine.
  • Asymptote
    Vertical line on a graph where a function approaches infinity or is undefined, often at zeros of sine or cosine.
  • Period
    Horizontal length required for a trigonometric graph to complete one full cycle, calculated as 2π divided by the frequency.
  • Transformation
    Modification of a graph's shape or position, including stretches and shifts, applied to trigonometric functions.
  • Peak
    Maximum point on a trigonometric graph, corresponding to highest values of sine or cosine and their reciprocals.
  • Valley
    Minimum point on a trigonometric graph, corresponding to lowest values of sine or cosine and their reciprocals.
  • Undefined Value
    Point where a function cannot be evaluated, often due to division by zero, resulting in asymptotes.
  • Smiley Face
    Upward-opening curve segment between asymptotes on secant or cosecant graphs, reflecting positive reciprocal values.
  • Frowny Face
    Downward-opening curve segment between asymptotes on secant or cosecant graphs, reflecting negative reciprocal values.
  • Cycle
    Complete repetition of a trigonometric graph's pattern, marked by recurring peaks, valleys, and asymptotes.
  • Frequency
    Number indicating how many cycles a trigonometric function completes in a given interval, affecting the period.
  • Stretch
    Transformation that alters the amplitude or period of a trigonometric graph, making it taller or wider.
  • Shift
    Transformation that moves a trigonometric graph horizontally or vertically without changing its shape.