Question

what is the value of x in sin 3x + sin 2x=0

Answer 1

use sum to product identity
\(\large \rm sin(X)+sin(Y)=2sin(\frac{X+Y}{2})cos(\frac{X-Y}{2})\)

Answer 2

sooooo

Answer 3

you X=3x and your Y=2x
so X+Y=5x and X-Y=x
then you get \(\Large \rm sin(3x)+cos(2x)=2sin(\frac{5x}{2})cos(\frac{x}{2})\)
now we need to solve \(\Large \rm 2sin(5x/2)cos(x/2)=0\)
take it from here and solve