Find the exact value or state that it is undefined. In the latter case, enter “DNE”.
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The expression can be simplified. Since , we can express it as . The output of the inverse sine function, , is defined in the range from to . Thus, .

However, the original expression lies in the range where the sine function might evaluate to a negative angle if it were outside . Here it evaluates correctly, so it’s not undefined.

To break it down, the sine function is periodic, but the inverse sine selects a specific angle. Always ensure that the angle returned by the inverse function lies within its defined range!