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1)![4* \frac{1+cos2x}{2} -1 =0 \\ 2+2cos2x-1=0 \\ 2cos2x=-1 \\ cos2x=- \frac{1}{2} \\ 2x=+-arccos( \frac{-1}{2})+2 \pi n \\ 2x=+- \frac{2 \pi }{3} +2 \pi n \\ x=+- \frac{ \pi }{3} + \pi n 4* \frac{1+cos2x}{2} -1 =0 \\ 2+2cos2x-1=0 \\ 2cos2x=-1 \\ cos2x=- \frac{1}{2} \\ 2x=+-arccos( \frac{-1}{2})+2 \pi n \\ 2x=+- \frac{2 \pi }{3} +2 \pi n \\ x=+- \frac{ \pi }{3} + \pi n](https://tex.z-dn.net/?f=4%2A+%5Cfrac%7B1%2Bcos2x%7D%7B2%7D+-1+%3D0+%5C%5C+2%2B2cos2x-1%3D0+%5C%5C+2cos2x%3D-1+%5C%5C+cos2x%3D-+%5Cfrac%7B1%7D%7B2%7D++%5C%5C+2x%3D%2B-arccos%28+%5Cfrac%7B-1%7D%7B2%7D%29%2B2+%5Cpi+n+%5C%5C+2x%3D%2B-+%5Cfrac%7B2+%5Cpi+%7D%7B3%7D+%2B2+%5Cpi+n+%5C%5C+x%3D%2B-+%5Cfrac%7B+%5Cpi+%7D%7B3%7D+%2B+%5Cpi+n+)
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