Introduction to Trig Ratios by Steven Francis
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This example demonstrates how to understand basic trigonometric concepts by constructing right-angled triangles. The core math concepts involved include the definitions of trigonometric functions (sine, cosine, tangent), the Pythagorean theorem for side length relationships, and angle measurement. Construction highlights utilize GeoGebra commands and objects such as Intersect (intersection), Point (point), Line (line), Rotate (rotation), Angle (angle), Polygon (polygon), and Segment (segment) to build and illustrate the concepts. Suitable for middle school and above students to learn and grasp the fundamentals of trigonometry, ideal for classroom instruction or self-study.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APoint(xAxis) → BLine(A, B) → aRotate(C, β, A) → C'Angle(C, A, C') → αLine(A, C') → bLine(C, yAxis) → cIntersect(c, b) → DPolygon(A, C, D) → poly1, d, a_1, c_1Angle(D, C, A) → γSegment(A, D) → eSegment(C, D) → fSegment(A, C) → g