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Inverse Trig Function Graphs - Restricted Domain

Inverse Trig Function Graphs - Restricted Domain
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2015-10-28 05:09
FunctionTrigonometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates the graphing and properties of inverse trigonometric functions (sine, cosine, tangent) with restricted domains. Key math concepts include the domain, range, monotonicity, and transformations of inverse trig functions. GeoGebra commands used are Function and Segment, with objects like f, g, h, a, A, B, b, C, c, d, D, E, F, e, i, j, k, l, m, n, p, q, r, s, G, H, I, t, a_1, J, K, L, b_1, c_1, o, u, v, w, z, f_1. Suitable for high school mathematics teaching on inverse function graphing and properties.

GeoGebra Commands & Parameters

  1. Function(g, -1.5707963267948966, 1.5707963267948966) → h
  2. Segment(A, B) → b
  3. Segment(A, C) → c
  4. Segment(B, A) → d
  5. Segment(D, E) → e
  6. Segment(E, F) → i
  7. Function(p, 0, 3.141592653589793) → q
  8. Segment(G, H) → t
  9. Segment(H, I) → a_1
  10. Segment(J, K) → b_1
  11. Segment(K, L) → c_1
  12. Function(f_1, -1.5707963267948966, 1.5707963267948966) → g_1

AI Drawing Prompt Reference

Graph the inverse trigonometric functions of sine, cosine, and tangent with restricted domains, highlighting their graphs, domains, ranges, monotonicity, and transformations. Use sliders to adjust parameters, and connect key points with line segments to detail the function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.