The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
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adjacent opposite hypotenuse
Right, acute, and obtuse...
There are more than two but the two most common ones are plane trig and spherical trig.
Many kinds of engineers, navigator, surveyor, architect, air traffic controller, cartographer and many more.
plane trigonometry spherical trigonometry