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Prove that cos55^0+cos65^0+cos175^0=0...

Prove that `cos55^0+cos65^0+cos175^0=0`

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To prove that \( \cos 55^\circ + \cos 65^\circ + \cos 175^\circ = 0 \), we can follow these steps: ### Step 1: Combine the first two cosine terms Using the cosine addition formula: \[ \cos A + \cos B = 2 \cos\left(\frac{A+B}{2}\right) \cos\left(\frac{A-B}{2}\right) \] Let \( A = 55^\circ \) and \( B = 65^\circ \): ...
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