It is known that for any x belonging to R, y = (cosx) ^ 2-2msinx-2m-2 is always negative

It is known that for any x belonging to R, y = (cosx) ^ 2-2msinx-2m-2 is always negative

Y = (cosx) ^ 2-2msinx-2m-2 is always negative = 1-sin & # 178; x-2msinx-2m-2 = - Sin & # 178; x-2msinx-2m-1 = - (SiNx + m) &# 178; + M & # 178; - 2m-1 let t = SiNx ∈ [- 1,1]; y = - (T + m) &# 178; + M & # 178; - 2m-1 image opening down, symmetry axis t = - m, need ymax