sinωt-cosωt
cosωt+sinωt
1-sin²ωt
sinωt+cos(ωt+α)
For an equation to represent an SHM, it must satisfy d²x/dt² = -kx
Consider option C, x = 1-sin²ωt ⇒ d²x/dt² = 4ω²sin2ωt
which cannot be expressed as c(1-sin²ωt) where c is a constant.
Hence this does not represent an SHM.