$\cos 24 ° + \cos 55 ° + \cos 125 ° + \cos 204 ° =$

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Detailed Solution

$\cos (204 °) = \cos (180 ° + 24 °) = - \cos 24 °, \cos (125 °) = \cos (180 ° - 55 °) = - \cos 55 ° \Rightarrow \cos 24 ° + \cos 55 ° + \cos 125 ° + \cos 204 ° = 0$

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