<prompt> Tafuta anuwai ya chaguo la kukokotoafx kushoto arccos fracx2 kulia2 pi arcsin fracx2 - left arcsin fracx2 2 kulia2 fracpi212 x2 6x 8.  <response>: Kwanza, tunadai kwamba arccos x arcsin x fracpi2 kwa x yote katika -1,1.Kumbuka hilocos kushoto fracpi2 - arcsin x kulia cos arccos x x.Zaidi ya hayo, -fracpi2 le arcsin x le fracpi2, hivyo 0 le fracpi2 - arcsin x le pi. Kwa hiyo,fracpi2 - arcsin x arccos x,hivyo arccos x arcsin x fracpi2.Hasa,anzaalignfx kushoto arccos fracx2 kulia2 pi arcsin fracx2 - left arcsin fracx2 kulia2 fracpi212 x2 6x 8 kushoto arccos fracx2 kulia2 - kushoto arcsin fracx2 kulia2 pi arcsin fracx 2 fracpi212 x2 6x 8 kushoto arccos fracx2 arcsin fracx2 kulia kushoto arccos fracx2 - arcsin fracx 2 kulia pi arcsin fracx2 fracpi212 x2 6x 8 fracpi2 arccos fracx2 - fracpi2 arcsin fracx2 pi arcsin fracx 2 fracpi212 x2 6x 8 fracpi2 arccos fracx2 fracpi2 arcsin fracx2 fracpi2 12 x2 6x 8 fracpi24 fracpi212 x2 6x 8 fracpi26 fracpi212 x 32.endalignKitendakazi fx kimefafanuliwa kwa -2 le x le 2, kwa hivyo safu ni left fracpi24, frac 9 pi24 kulia. 