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Explore Trigonometric Ratios (SOH CAH TOA)

Explore Trigonometric Ratios (SOH CAH TOA)
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2016-02-05 02:14
AngleTrigonometryGeometric Construction
This example demonstrates the calculation and visualization of trigonometric ratios (sine, cosine, tangent) in right triangles. Key math concepts include the definition of trigonometric functions, relationships between side lengths in right triangles, and the SOH CAH TOA mnemonic. Construction involves commands like Segment, Point, Angle, Textfield, Vector to draw the triangle and compute sin, cos, tan values. Suitable for middle school and above learners to understand the geometric meaning and practical applications of trigonometric functions.

GeoGebra Commands & Parameters

  1. Segment(Z, Max) → i
  2. Point(a) → C
  3. Point(i) → A
  4. Segment(A, B) → hypotenuse
  5. Segment(Z, B) → adjacent
  6. Segment(A, Z) → opposite
  7. Angle(A, B, Z) → α
  8. Segment(A, B) → b
  9. Segment(B, Z) → c
  10. Segment(A, Z) → d
  11. Textfield(hyp) → InputBox1
  12. Angle(B, Z, A) → β
  13. Vector(D, A) → u