Show that the motino of a particle represented by `y=sinomegat-cosomegat` is simple harmonic with a period of `2pi//omega`.

Explanation

`y=sinomegat-cosomegat=sqrt(2)[(1)/(sqrt(2))sinomegat-(1)/(sqrt(2))cosomegat]=sqrt(2)[cos((pi)/(4))sinomegat-sin((pi)/(4))cosomegat]`
It represents SHM of angular frequency `omega(=2pi//T)`
Time period, `T=(2pi)/(omega)`