Trigonometry is a branch of mathematics that solves problems relating to plane and spherical triangles. Its principles are based on the fixed proportions of sides for a particular angle in a right-angled triangle, the simplest of which are known as the sine, cosine, and tangent (so-called trigonometric ratios). Trigonometry is of practical importance in navigation, surveying, and simple harmonic motion in physics. The sine and cosine functions are the co-ordinates of a point on the unit circle as a function of the angle made by a ray from the center to the point and turn out to be of fundamental importance in complex analysis.
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plane trigonometry spherical trigonometry
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
Hipparchus is the father of trigonometry.
Trigonometry based on a unit circle and radians and trigonometry based on a right triangle.
Hipparchus of Nicaea