There are many formulae in trigonometry, not just three. So the question cannot be answered without knowing which three you mean.
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It depends what you need to calculate. There are various formulas for this. It is a branch of mathematics called trigonometry.
Trigonometry is the study of plane and spherical triangles. Plane trigonometry deals with 2 Dimensional triangles like the ones you would draw on a piece of paper. But, spherical trigonometry deals with circles and 3 Dimensional triangles. Plane trigonometry uses different numbers and equations than spherical trigonometry. There's plane trigonometry, where you work with triangles on a flat surface, then there's spherical trigonometry, where you work with triangles on a sphere.
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The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.