im doin q9.2 in excel math ext II book..
question is
Find the general solution of the equation sin 2x + sin 3x + sin 4x = 0, and hence write down the particular solution in the interval 0=<x=><2x
anyway im working thru the solutions
rewrite eqn
(sin 4x + sin 2x) + sin 3x = 0
then its got use the identity
sin A + sin B = 2sin(1/2(A + B))cos(1/2(A - B))
and i do that and get
2sin 3x*cos x + sin 3x = 0
but they hav got
2sin 3x*cos 2x + sin 3x = 0
mayb im just tired or cant subtract or sumthin.. but wat am i missin..</x=>
question is
Find the general solution of the equation sin 2x + sin 3x + sin 4x = 0, and hence write down the particular solution in the interval 0=<x=><2x
anyway im working thru the solutions
rewrite eqn
(sin 4x + sin 2x) + sin 3x = 0
then its got use the identity
sin A + sin B = 2sin(1/2(A + B))cos(1/2(A - B))
and i do that and get
2sin 3x*cos x + sin 3x = 0
but they hav got
2sin 3x*cos 2x + sin 3x = 0
mayb im just tired or cant subtract or sumthin.. but wat am i missin..</x=>