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Trigonometry, as part of Fractal Geometry within Mathematics and Science, deals with the relationships between angles and the lengths of the corresponding sides of triangles. It establishes fundamental functions such as sine, cosine, and tangent, which describe the ratios of these side lengths. These concepts are crucial in the study of fractals, where patterns repeat themselves at different scales, often resulting in complex and visually striking shapes. Trigonometry provides the mathematical foundation for understanding how these repeating patterns relate to one another, allowing for the analysis and creation of intricate fractal designs.