Primary Trig Ratios Formal Definitions

Primary Trig Ratios Formal Definitions
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2016-12-13 23:59
This example demonstrates the geometric definitions of sine, cosine, and tangent functions in right triangles. It involves core math concepts like trigonometry, similarity transformation, and geometric construction. Construction highlights include using GeoGebra commands such as Intersect, Circle, Segment, Angle, and If, along with objects like angle θ, radius, origin, and intersection points. Suitable for middle school and above students learning trigonometric definitions and geometric foundations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Origin
  2. Circle(Origin, Radius) → c
  3. Segment(initialArmEndPt, Origin) → initialArm
  4. Segment(P, Origin) → terminalArm
  5. Angle(initialArmEndPt, Origin, P) → θVisual
  6. If(Radius ≟ 1, "0000ff", "000000") → xCoordColor
  7. If(Radius ≟ 1, "ff0000", "000000") → yCoordColor