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Pythagoras education was mathematics and was taught by other people
Trigonometry is a branch of mathematics. It is a form of knowledge and has no physical existence and so it has no appearance.
In Geometry, you learn about triangles. In Trigonometry you learn even more about triangles.
Some trigonometry mathematicians also worked on other aspects of mathematics. Hope that answers your question.
It was not quite a cult, more of a society dedicated to mathematics, astronomy, religion, and philosophy, which Pythagoras himself coined.