Write the range of the function `f(x)=sin[x],w h e r e(-pi)/4lt=xlt=pi/4` .

Explanation

To find the range of the function \( f(x) = \sin[\lfloor x \rfloor] \) where \( -\frac{\pi}{4} < x < \frac{\pi}{4} \), we will follow these steps:

### Step 1: Determine the integral part of \( x \)
The integral part of \( x \), denoted as \( \lfloor x \rfloor \), is the greatest integer less than or equal to \( x \).

Given the interval \( -\frac{\pi}{4} < x < \frac{\pi}{4} \):
- The value of \( -\frac{\pi}{4} \) is approximately \( -0.785 \).
- The value of \( \frac{\pi}{4} \) is approximately \( 0.785 \).
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