cos^(-1)(x) or arccos(x) (to avoid confusion as to an interpretation as a possible negative exponent) color(white)("XXXX")= the angle theta for which cos(theta) = x (basic definition)
Therefore cos(arccos(3/4)) color(white)("XXXX")= cos(the angle theta for which cos(theta) = 3/4 ) color(white)("XXXX")=3/4