Find the range of `f(x)=sin^2x-sinx+1.`

Explanation

To find the range of the function \( f(x) = \sin^2 x - \sin x + 1 \), we can follow these steps:

### Step 1: Rewrite the function
We start with the function:
\[ f(x) = \sin^2 x - \sin x + 1 \]
We can add and subtract \(\frac{3}{4}\) to help us complete the square:
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