<prompt> Rahisishacos2 x cos2 kushoto fracpi3 x kulia cos2 kushoto fracpi3 - x kulia .  <response>: Kutoka kwa fomula ya kuongeza pembe,cos kushoto fracpi3 x kulia frac12 cos x - fracsqrt32 sin x nacos kushoto fracpi3 - x kulia frac12 cos x fracsqrt32 sin x. Kwa hiyo,anzaaligncos2 x cos2 kushoto fracpi3 x kulia cos2 kushoto fracpi3 - x kulia cos2 x kushoto frac12 cos x - fracsqrt32 sin x kulia2 kushoto frac 12 cos x fracsqrt32 sin x kulia2 cos2 x frac14 cos2 x - fracsqrt32 cos x sin x frac34 sin2 x frac14 cos2 x fracsqrt32 cos x sin x frac34 sin2 x frac32 cos2 x frac32 sin2 x frac32.mwishopanga 