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Find the sum of all θ\thetaθ between 0∘0^{\circ}0∘ and 360∘360^{\circ}360∘ such that
cos(12θ+37∘)=12.\cos(\frac{1}{2}\theta+37^{\circ})=\frac{1}{\sqrt{2}}.cos(21θ+37∘)=21.
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