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Prove that: cos(30^(@)-x)-cos(30^(@)+x...

Prove that:
`cos(30^(@)-x)-cos(30^(@)+x)=sinx`

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To prove that \( \cos(30^\circ - x) - \cos(30^\circ + x) = \sin x \), we will use the cosine addition and subtraction formulas. ### Step-by-Step Solution: 1. **Apply the Cosine Subtraction Formula**: \[ \cos(30^\circ - x) = \cos 30^\circ \cos x + \sin 30^\circ \sin x \] ...
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