Find the exact value of the real number $y$ if it exists. Do not use a calculator. \[ y=\sin ^{-1}(-2) \] Select the correct answer below and, if necessary, fill in the answer box to complete your choice A. $y=\sin ^{-1}(-2)=$ (Simplify your answer. Type an exact answer, using $\pi$ as needed. Use integers or fractions for any numbers in the expression.) B. $\sin ^{-1}(-2)$ does not exist.

Step 1 ：Find the exact value of the real number \(y\) if it exists. Do not use a calculator.

Step 2 ：\(y=\sin ^{-1}(-2)\)

Step 3 ：Select the correct answer below and, if necessary, fill in the answer box to complete your choice

Step 4 ：The sine function, \(\sin(x)\), only takes on values in the range \([-1, 1]\). Therefore, the inverse sine function, \(\sin^{-1}(x)\), is only defined for values in the range \([-1, 1]\). Since \(-2\) is not in this range, \(\sin^{-1}(-2)\) is undefined.

Step 5 ：Final Answer: \(\boxed{\sin ^{-1}(-2)\text{ does not exist}}\)