Given the function FX = ︱ SiNx ︱ cosx - sin2x-1 (1), find the maximum value of function FX (2) If the function FX has exactly 2014 zeros on (0. MX), find the value range of M

Given the function FX = ︱ SiNx ︱ cosx - sin2x-1 (1), find the maximum value of function FX (2) If the function FX has exactly 2014 zeros on (0. MX), find the value range of M

(1)
|sinx|+|cosx|=√[1+2|sinxcosx|]=√[1+|sin2x|]
Let a = sin2x
Then f (x) = √ (1 + | a |) - A-1
When a = 0, let t = √ (1 + a), f (x) = T-T ^ & # 178; = 1 / 4 - (t-1 / 2) &# 178;, because 1=