Not specifically trigonometry, but functions in general. As a general rule, functions must be evaluated before using the results in other parts of the calcuation.
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Measure it or use trigonometry if the 'included' angle is given.
Because if you did operations in an impermissible order, or violated laws of operations, then your solution to the equation is wrong.
plane trigonometry spherical trigonometry
Because if you perform the operations in a different order your answer will be wrong.
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.