Simplify arccos( square root of 3)

Problem

arccos(√(,3))

Solution

1. Identify the domain of the inverse cosine function, arccos(x) The domain is restricted to the interval [−1,1]

2. Compare the input value to the domain. The value √(,3) is approximately 1.732

3. Determine if the value is within the valid range. Since √(,3)>1 the value lies outside the domain of the arccos() function.

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

Final Answer

arccos(√(,3))=undefined

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