Plot the following, where [.] denotes integer function.
`f(x)=[sin^(-1)(sinx)]`

Answer

To plot the function \( f(x) = [\sin^{-1}(\sin x)] \), where \([.]\) denotes the greatest integer function (or floor function), we will follow these steps:

### Step 1: Understand the function \( \sin^{-1}(\sin x) \)

The function \( \sin^{-1}(\sin x) \) gives the angle whose sine is \( \sin x \). The range of \( \sin^{-1} \) is limited to \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \). Therefore, we need to determine how \( \sin^{-1}(\sin x) \) behaves for different intervals of \( x \).