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Derivatives of Sine & Cosine

Derivatives of Sine & Cosine
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2017-10-04 20:41
FunctionTrigonometryDerivative
This example demonstrates the derivatives of sine and cosine functions. Key mathematical concepts include derivatives and trigonometry. Using GeoGebra commands such as Tangent, Slope, and Locus, the example provides a visual understanding of derivatives. Suitable for high school math education and calculus learning.

GeoGebra Commands & Parameters

  1. Tangent(A, f) → g
  2. Slope(g) → Slope
  3. Locus(B, a) → loc1
  4. Point(g) → C
  5. Circle(A, C) → c
  6. Point(g) → D
  7. Segment(C, D) → h

AI Drawing Prompt Reference

Draw the graphs of sine and cosine functions. Select a point A on the sine function graph, draw the tangent line g at point A, calculate the slope of the tangent line, then draw a circle c with A as the center and the intersection of the tangent line and the x-axis as the starting point B. Next, select a point C on the tangent line, and draw a line segment CD connecting point C to the intersection point D of the circle and the tangent line.
The prompt above was compiled from the original drawing commands and is for reference only.