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Trigonometric functions, exponential functions are two common examples.
ANY two angles that total 90o, eg the "other" angles in a right-angled triangle.
Inverse functions are two functions that "undo" each other. Formally stated, f(x) and g(x) are inverses if f(g(x)) = x. Multiplication and division are examples of two functions that are inverses of each other.
That is exactly it, complementary means two angles that add up to 90 degrees. 25 is the complementary of 65, and vise versa.
The axis of symmetry. Which is a line that you can reflect two functions of off the axis of symmetry.