Finding solution to sin of arcsin

[andrew05]

An expression on my homework I just CAN'T figure out is sin(arccos (x/2)+(pi/3))

I'm not sure if I should do the arccos of both x/2 and pi/3...or if I should do the arccos of x/2, add pi/3, then take the sin of that. I've tried both ways and get answers that make sense either way.

[theshadow]

An expression on my homework I just CAN'T figure out is sin(arccos (x/2)+(pi/3))

i'd do the angle sum formula for sines & then do the parts separately:

sin(arccos(x/2))cos(pi/3) + cos(arccos(x/2))sin(pi/3)