Question

Sin^2(x).cos^2(x)=cos(x).sin^2(x)+cos(x).sin^4(x)?

Please ,allow me to explain this equally .if your time is allowed?.

Answer 1

Im assuming the LHS to be,

`cos^3x * sin^2 x`

`= cos x * cos^2x * sin^2x`

`= cosx * (1- sin^2x) * sin^2x` [since `sin^2x+cos^2x= 1`]

`= cosx*(sin^2x - sin^4x)`

`= sin^2xcosx - sin^4xcosx`

Hence Proved.