Find the Exact Value arcsin(-2)

Problem

arcsin(−2)

Solution

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

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

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

4. Determine that since −2<−1 the value lies outside the valid domain for the real-valued inverse sine function.

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

Final Answer

arcsin(−2)=Undefined

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