Find the Exact Value arccos(2)

Problem

arccos(2)

Solution

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

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

3. Compare the given value x=2 to the domain.

4. Determine that since 2>1 the value 2 lies outside the valid domain of the function.

5. Conclude that the expression is undefined in the set of real numbers.

Final Answer

arccos(2)=undefined

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