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What value of NNN in the interval [0,90] [0, 90] [0,90] satisfies the following equation: sinN∘2sin5∘−12=cos10∘+cos20∘+cos30∘+cos40∘+cos50∘+cos60∘+cos70∘+cos80∘ ? \begin{aligned} \frac { \sin N ^ \circ } { 2 \sin 5 ^ \circ } - \frac {1}{2} = & \cos 10 ^ \circ + \cos 20 ^ \circ + \cos 30^ \circ + \cos 40 ^ \circ \\ &+ \cos 50 ^ \circ + \cos 60^ \circ + \cos 70 ^ \circ + \cos 80 ^ \circ\, ?\\ \end{aligned} 2sin5∘sinN∘−21=cos10∘+cos20∘+cos30∘+cos40∘+cos50∘+cos60∘+cos70∘+cos80∘?
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