MathPlotAI Logo MathPlotAI

Transformation of Sine Function

Transformation of Sine Function
Loading the math board and drawing, please wait…
2016-09-20 21:49
FunctionTrigonometryTransformation
This example demonstrates the transformation of the sine function. Key mathematical concepts include the sine function, vectors, and geometric transformations. Using GeoGebra commands such as OrthogonalLine, Intersect, and Vector, the dynamic changes in the sine function graph can be observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → b_1
  2. Intersect(b_1, c) → C
  3. Vector(C, A) → u
  4. Intersect(g, c, (0, 0)) → B
  5. Intersect(g, e, (6.283185307179586, -2.4492935982947064E-16)) → D
  6. Segment(B, D) → h
  7. Midpoint(B, D) → E
  8. Intersect(f, xAxis, (0, 0)) → F
  9. Vector(F, B) → v