Question

Find the exact value of the expression.

Answer 1

This is the inverse function. \[\sin^{-1}x\] means to find the RADIAN MEASURE that has x as its sine value. E.g., \[y=\sin^{-1}x\]means that \[\sin y=x\].

Also, there are restrictions on the output ranges of the inverse functions... for sine, must have \[-\frac{ \Pi }{ 2 }\le{y}\le{\frac{ \Pi }{ 2 }}\].

So which of your choices there fits BOTH of those criteria, ie., is a value y such that \[\sin y=x\] and also is in the range of the inverse function?

Answer 2

Not entirely sure I am understanding correctly, but I think I would pick C?