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Finding the composition of inverses when not in the range

2,458 views · Published 6 December 2012 · 2:40 · Indexed 26 October 2026

Channel: Brian McLogan · 2012 · Education

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👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. 

We can evaluate the composition of a trigonometric function and an inverse trigonometric function using a calculator, the unit circle of the quadrants' triangle. It is important when computing the inverse of a function that the input is within the domain of the function and the output is within the range.

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