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Trigonometry is most simply associated with planar right-angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees). The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles. One exception to this is spherical trigonometry , the study of triangles on spheres , surfaces of constant positive curvature , in elliptic geometry (a fundamental part of astronomy and navigation ). Trigonometry on surfaces of negative curvature is part of hyperbolic geometry .

Trigonometry basics are often taught in schools, either as a separate course or as a part of a precalculus course.

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