MR-242 / 1175. zadatak

Uprostiti sledeći izraz:

cos2x-cos4x+sin4x

cos2x-cos4x+sin4x
cos2x-cos4x+sin4x
=cos2x1-cos2x+sin4x
=cos2x·sin2x+sin4x
=sin2xcos2x+sin2x
=sin2x

cos2x-cos4x+sin4x=sin2x