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Exploring Trigonometric Ratios by S Sharma

Exploring Trigonometric Ratios by S Sharma
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2019-05-17 03:31
AngleTrigonometryGeometric Construction
This example uses triangle construction to explore trigonometric ratios. It demonstrates basic trigonometric functions such as sine, cosine, and tangent. Using GeoGebra commands like Polygon and Angle, users can dynamically adjust the angles and sides of the triangle to observe changes in the trigonometric ratios. Suitable for middle school and above students to learn basic concepts of trigonometric functions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(D, E, F) → poly2, f, d, e
  3. Polygon(G, H, I) → poly3, i, g, h
  4. Polygon(J, K, L) → poly4, l, j, k
  5. Angle(C, B, A) → α
  6. Angle(I, H, G) → β
  7. Angle(D, E, F) → γ
  8. Angle(J, K, L) → δ
  9. Polygon(M, N, O) → poly5, o, m, n
  10. Angle(M, N, O) → ε
  11. Angle(B, A, C) → ζ
  12. Angle(G, I, H) → η
  13. Angle(F, D, E) → θ
  14. Angle(L, J, K) → ι
  15. Angle(L, J, K) → κ
  16. Angle(O, M, N) → λ

AI Drawing Prompt Reference

Draw a triangle ABC, then draw triangles DEF, GHI, JKL, and MNO. Measure the angles A, B, C in triangle ABC, and angles D, E, F, G, H, I, J, K, L, M, N in triangles DEF, GHI, JKL, and MNO. Adjust the sides and angles of the triangles to observe changes in trigonometric functions (sine, cosine, tangent).
The prompt above was compiled from the original drawing commands and is for reference only.