Find the Exact Value arcsin(300)

Problem

arcsin(300)

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 given input value x=300 to the domain boundaries.

4. Determine that since 300>1 the value is outside the valid domain of the function.

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

Final Answer

arcsin(300)=Undefined

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