1.cos[arcsin(1/3)-arctan(3/2)]
原式=cos[arcsin(1/3)]sin[arcsin(3/根号13)]-sin[arcsin(1/3)]cos[arcsin(3/根号13)]
=cos[arccos(2(根号2)/3)]*(3/根号13)-(1/3)cos[arccos(2/根号13)]
=[2(根号2)/3]*(3/根号13)-(1/3)*(2/根号13)
=6(根号2)/(3根号13)-[2/(3根号13)]
=(6根号2-2)/(3根号13)
2.tan(2arctan1/2arctan√2/2)
原式=tan(arctan4/3arctan√2/2)
=tan(53度*45度)
=tan[(53派/360)*派/4]
约0.054886
有问题吧?你的题是不是抄错了?