Find the Exact Value arccos(pi)

Problem

arccos(π)

Solution

1. Identify the domain of the inverse cosine function, arccos(x)

2. Recall that the domain of arccos(x) is the interval [−1,1]

3. Compare the input value π to the domain boundaries.

4. Determine that since π≈3.14159 it is greater than 1

5. Conclude that the expression is undefined because the input is outside the valid domain.

Final Answer

arccos(π)=undefined

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