Answer
There is no angle $\theta$ such that $sin~\theta = 1.003$.
Therefore, when we try to calculate $sin^{-1}1.003$ on a calculator, we will get an error message.
Work Step by Step
Let $~~\theta = sin^{-1}1.003$
Then $~~sin~\theta = 1.003$
However, the maximum possible value of the sine function is 1. There is no angle $\theta$ such that $sin~\theta = 1.003$.
Therefore, when we try to calculate $sin^{-1}1.003$ on a calculator, we will get an error message.
