MathPlotAI Logo MathPlotAI

Trigonometric Calculator: Given Two Legs

Trigonometric Calculator: Given Two Legs
Loading the math board and drawing, please wait…
2016-04-14 22:03
TrigonometryCoordinate GeometryGeometric Construction
In collections Trigonometry on a right angle triangle
This example demonstrates how to calculate trigonometric ratios of a right triangle when the lengths of two legs are known. Key math concepts include right triangles, trigonometric functions (sine, cosine, tangent), and the Pythagorean theorem. It uses GeoGebra commands/objects like Textfield, Point, Segment, Circle, OrthogonalLine, Intersect, Angle, Polygon for construction. Suitable for high school students learning trigonometric calculations and geometric constructions.

GeoGebra Commands & Parameters

  1. Textfield(CB) → InputBox1
  2. Textfield(AC) → InputBox2
  3. Point(Circle[C, AC]) → A
  4. Segment(C, A) → b
  5. Circle(C, CB) → c_1
  6. OrthogonalLine(C, b) → b_1
  7. Intersect(c_1, b_1, 2) → B
  8. Segment(C, B) → a
  9. Segment(A, B) → c
  10. Angle(A, C, B) → α_1
  11. Angle(B, A, C) → α
  12. Angle(C, B, A) → β
  13. Polygon(A, B, C) → poly1, c_2, a_1, b_2