The purpose of trigonometry is to gather as much accurate measurements of distances given little information about angles or other distances. It is used in engineering, astronomy, city planning, drafting and designing, and construction.
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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