Evaluate arcsin(2)

Problem

arcsin(2)

Solution

1. Identify the domain of the inverse sine function. The function y=arcsin(x) is defined only for values of x in the interval [−1,1]

2. Compare the given input to the domain. The value x=2 is outside the interval [−1,1]

3. Conclude that since the input is outside the valid domain for real numbers, the expression does not have a real-valued solution.

Final Answer

arcsin(2)=undefined in the set of real numbers

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