In geometry, similar shapes have the same angles. This means that the values of the basic trigonometric functions of these angles are the same.
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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