Transformations of Sine, Cosine, and Tangent
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This example demonstrates the transformations of sine, cosine, and tangent functions using checkboxes to display each graph and sliders to adjust parameters a, b, c, d for visual changes. Core math concepts include trigonometric function graph transformations, amplitude, period, phase shift, and vertical translation. GeoGebra commands like n, a, b, c, d, f, g, e, h, j, i, l, k, p, m, q_1, o, text1 are used to construct the dynamic graphs. Suitable for high school mathematics education to help students intuitively understand the transformation rules of trigonometric functions and enhance their graph recognition skills.
GeoGebra Commands & Parameters
Numeric n(1)Numeric a(1)Numeric b(1)Numeric c(-2.8204141244714265e-9)Numeric d(0)f(x) = ((n * a) * sin((b * (x + c)))) + dg(x) = ((n * a) * cos((b * (x + c)))) + dBoolean e(false)h(x) = sin(x)j(x) = cos(x)Boolean i(false)Boolean l(false)Boolean k(false)p(x) = tan(x)Boolean m(false)q_1(x) = ((n * a) * tan((b * (x + c)))) + dBoolean o(false)