sin(arccos1/2+arccos1/3)

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sin(arccos1/2+arccos1/3)

sin(arccos1/2+arccos1/3)
sin(arccos1/2+arccos1/3)

sin(arccos1/2+arccos1/3)
原式=sin(arccos1/2)cos(arccos1/3)+cos(arccos1/2)sin(arccos1/3)
=√3/2*1/3+1/2*2√2/3
=(√3+2√2)/6

sin(arcsin1/2+arccos1/3)
=sin(arcsin1/2)cos(arccos1/3)+cos(arcsin1/2)sin(arccos1/3)
=1/2*1/3+根号(1-(1/2)^2)*根号(1-(1/3)^2)
=1/6+(根号3)/2*2根号(2)/3
=1/6+(根号6)/3
=(1+2根号6)/6

化简的每一步都写