cos 1^circ + cos 2^circ + cos 3^circ + ..... | vedclass

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Question

$(\cos 1^\circ + \cos 179^\circ ) + (\cos 2^\circ + \cos 178^\circ ) + ....$

$ + (\cos 89^\circ + \cos 91^\circ ) + \cos 90^\circ + \cos 180^\circ

Vedclass · Accepted Answer

$-1$

Vedclass · Answer

$(\cos 1^\circ + \cos 179^\circ ) + (\cos 2^\circ + \cos 178^\circ ) + ....$

$ + (\cos 89^\circ + \cos 91^\circ ) + \cos 90^\circ + \cos 180^\circ = - 1$.

$\cos 1^\circ + \cos 2^\circ + \cos 3^\circ + ..... + \cos 180^\circ = $

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