Y = the minimum positive period of the radical (COS ^ 4 (x / 2) - cosx)

Y = the minimum positive period of the radical (COS ^ 4 (x / 2) - cosx)

Analysis: y = root sign [cos ^ 4 (x / 2) - cosx] = root sign [cos ^ 4 (x / 2) - 2cos & # 178; (x / 2) + 1] = root sign {[cos & # 178; (x / 2) - 1] &# 178;} = root sign {[Sin & # 178; (x / 2)] &# 178;} = Sin & # 178; (x / 2) = (1-cosx) / 2, so the minimum positive period of the function is 2 π