Find the Exact Value 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 input value is 2

3. Determine if the value is within the valid range. Since 2>1 the value 2 lies outside the domain of the arcsin() function.

4. Conclude that the expression does not have a real value.

Final Answer

arcsin(2)=Undefined

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