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Sine Angle Sum Identity

Sine Angle Sum Identity
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2019-04-08 09:07
FunctionTrigonometryGeometric Construction
In collections MA440
This example demonstrates the sine angle sum identity by rotating a square. Students can derive the height formula of a vertex. Key mathematical concepts include the sine function and triangle geometry. GeoGebra commands used include Rotate, Angle, Segment, Intersect, and Polygon. Suitable for high school mathematics education, particularly for learning trigonometric functions and geometric construction.

GeoGebra Commands & Parameters

  1. Rotate(P, a, A) → Q
  2. Angle(P, A, Q) → α
  3. Rotate(Q, b, A) → R
  4. Angle(Q, A, R) → β
  5. Segment(A, Q) → c
  6. Segment(Q, R) → d
  7. Segment(A, R) → e
  8. Segment(R_1, R) → f
  9. Intersect(c, f) → B
  10. Segment(R, C) → i
  11. Angle(C, R, Q) → γ
  12. Angle(R_1, B, A) → δ
  13. Angle(R, B, Q) → ε
  14. Segment(C, Q) → j
  15. Polygon(R, C, Q) → poly1, p', p'', c_1
  16. Segment(Q, Q_1) → k
  17. Polygon(A, Q, Q_1) → poly2, q_1, a_1, q