<prompt> Hebufx arccos x2 arcsin x2.Tafuta masafa ya fx. Vitendaji vyote viko katika radiani.  <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.Hebu alpha arccos x na beta arcsin x, hivyo alpha beta fracpi2. Kishaanzaalignfx arccos x2 arcsin x2 alpha2 beta2 kushoto fracpi2 - beta kulia2 beta2 2 beta2 - pi beta fracpi24 2 kushoto beta - fracpi4 kulia2 fracpi28.endalignKwa kuwa -fracpi2 le beta le fracpi2, anuwai ya fx ni left fracpi28, frac5 pi24 kulia. 