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cos(12∘)+cos(84∘)+cos(132∘)+cos(156∘)= ?\large \cos(12^\circ)+\cos(84^\circ)+\cos(132^\circ)+\cos(156^\circ)= \ ? cos(12∘)+cos(84∘)+cos(132∘)+cos(156∘)= ?
Extra Credit Problem: Can you generalize this result by writing an analogous equation involving cos(360∘n)\cos\left(\frac{360^\circ}{n}\right)cos(n360∘) for any positive integer nnn?
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