Find the Exact Value arcsin(3)

Problem

arcsin(3)

Solution

1. Identify the domain of the inverse sine function, y=arcsin(x)

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

3. Compare the input value 3 to the domain limits.

4. Determine that since 3>1 the value 3 is outside the valid domain of the function.

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

Final Answer

arcsin(3)=undefined

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