`sin(pi/3-sin^(-1)(-1/2))`is equal to (A) `1/2` (B) `1/3` (C) `1/4` (D) 1

Explanation

To solve the expression \( \sin\left(\frac{\pi}{3} - \sin^{-1}\left(-\frac{1}{2}\right)\right) \), we will follow these steps:

### Step 1: Simplify the Inverse Sine
We start with the term \( \sin^{-1}\left(-\frac{1}{2}\right) \). We know that:
\[ \sin^{-1}(-x) = -\sin^{-1}(x) \]
Thus, we can write:
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