[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
As we know,
- [tex] \boxed{\sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) }[/tex]
and
- [tex] \boxed{\sin(a - b) = \sin(a) \cos(b) - \cos(a \sin(b) ) }[/tex]
now, let's add them as shown ~
- [tex] \boxed{\sin(a + b) + \sin(a - b)} [/tex]
- [tex] \boxed{ \sin(a) \cos(b) + \cos(a) \sin(b) + \sin(a) \cos(b) - \cos(a) \sin(b) }[/tex]
- [tex] \boxed{2 \sin(a) \cos(b) }[/tex]
