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Tangent-Secant 2nd Formula (Angle Measures)

Tangent-Secant 2nd Formula (Angle Measures)
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2017-05-05 22:09
CircleAngleGeometric Construction
This example demonstrates how to determine the formula for secant and tangent using GeoGebra, focusing on angle measurements. Key math concepts include circles, tangents, secants, angles, intersecting lines, and arcs. Construction highlights the use of commands like Circle, Point, Rotate, Angle, Ray, Intersect, and CircleArc. Suitable for high school mathematics education to understand and apply the tangent-secant theorem and related trigonometric functions.

GeoGebra Commands & Parameters

  1. Circle(O, r) → c
  2. Point(c) → A
  3. Point(c) → D
  4. Rotate(O, 90*°, A) → B
  5. Angle(O, A, B) → α
  6. Ray(B, D) → a
  7. Ray(B, A) → b
  8. Intersect(c, a) → B_1, C
  9. Angle(D, B, A) → abd
  10. Angle(A, O, D) → arcad
  11. Angle(C, O, A) → arcac
  12. CircleArc(O, A, D) → d
  13. CircleArc(O, C, A) → e