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Explore Cosecant and Secant Functions with Asymptotes

Explore Cosecant and Secant Functions with Asymptotes
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2016-04-20 03:01
FunctionTrigonometrySlider Animation
This example explores the graphs of cosecant and secant functions using sliders to transform the graphs and compare them with sine and cosine functions. Commands used include Mirror and LaTeX. Suitable for high school and above students to learn about the properties and graphs of trigonometric functions.

GeoGebra Commands & Parameters

  1. Mirror(e, h) → e'
  2. Mirror(e', e) → e''
  3. Mirror(h, e) → h'
  4. Mirror(h, e') → h'_1
  5. Mirror(h'_1, e) → i
  6. Mirror(e', h'_1) → e''_1
  7. Mirror(h'_1, e''_1) → j
  8. Mirror(e''_1, j) → k
  9. Mirror(e'', i) → e'''
  10. Mirror(i, e''') → i'
  11. Mirror(s, t) → s'
  12. Mirror(t, s') → t'
  13. Mirror(s', t') → s''
  14. Mirror(t, s) → t'_1
  15. Mirror(s, t'_1) → s'_1
  16. Mirror(t'_1, s'_1) → a_1
  17. Mirror(s'_1, a_1) → b_1
  18. Mirror(a_1, b_1) → c_1
  19. Mirror(t', s'') → t''
  20. Mirror(s'', t'') → s'''
  21. Mirror(t'', s''') → t'''
  22. LaTeX(f, true, true) → text1
  23. LaTeX(g, true, true) → text2
  24. LaTeX(p, true, true) → text3
  25. LaTeX(q, true, true) → text4

AI Drawing Prompt Reference

Draw the graphs of cosecant and secant functions, and compare them with sine and cosine functions using sliders. First, draw the graphs of sine and cosine functions. Then, use mirror operations to generate the graphs of secant and cosecant functions. Finally, add labels to display the function expressions.
The prompt above was compiled from the original drawing commands and is for reference only.