The above animated gif is a recording of a file created in GeoGebra. (Find the file here)
This creation used a bit of basic sine and cosine together with knowledge about rotations and translations.
More importantly, though, guided creation of a file such as this can be good way of firming up a student's basic knowledge and even, at times, a means of introducing such concepts.
With such technology the dynamic nature of mathematics can be used as a prime teaching tool, with textbooks being primarily supportive in nature.
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