Solving Tangent Equations

Solving Tangent Equations
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2016-11-14 08:59
This example demonstrates how to dynamically construct and solve tangent equations using GeoGebra. It involves core math concepts like tangent function properties, equation solving, and intersection point analysis. Key GeoGebra commands and objects used include Corner, Sequence, Point, Textfield, Segment, along with xmin, xmax, ymin, ymax, A, B, list3, C, k, g, etc., for parameterized analysis. Suitable for high school mathematics teaching to understand the relationship between function graphs and equation solutions, enhancing analytical geometry skills.

GeoGebra Commands & Parameters

  1. Corner(5) → B
  2. Sequence(CurveCartesian[(180 * n) + t, tan(t°), t, -89, 89], n, round(xmin / 180), round(xmax / 180)) → list3
  3. Point(yAxis) → C
  4. Textfield(k) → InputBox1
  5. Segment(D, D + (0, k)) → f
  6. Sequence(((atan(k) * 180 / π) + (n * 180), k), n, round(xmin / 180 - 0.5), round(xmax / 180 + 0.5)) → list1