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Zeros of Trigonometric Functions

Zeros of Trigonometric Functions
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2017-03-02 04:02
FunctionTrigonometryGraphing
This example demonstrates the zeros of sine and cosine functions, highlighting their periodicity and distribution. Key math concepts include trigonometric functions, periodicity, zeros, and coordinate geometry. It uses GeoGebra's Sequence command for graphing, Slider for dynamic parameters, and Locus for tracking zero points, making it ideal for high school trigonometry instruction.

GeoGebra Commands & Parameters

  1. Sequence((asin(((-k)) / a) / b + ((2 * π) * n / b) + h, 0), n, -5, 5, 1) → list1
  2. Sequence((π / b - asin(((-k)) / a) / b + ((2 * π) * n / b) + h, 0), n, -5, 5) → list2
  3. Sequence((acos(((-k)) / a) / b + ((2 * π) * n / b) + h, 0), n, -5, 5) → list3
  4. Sequence(((2 * π / b) - acos(((-k)) / a) / b + ((2 * π) * n / b) + h, 0), n, -5, 5) → list4