Question

simplify

Answer 1

\[\cos(u+v)\sin(v)+\sin(u+v)\cos(v)\] is there a shortcut

Answer 2

this is of the sin(A+B)

Answer 3

hence the given expression reduces to sin(u+v+v)

Answer 4

=sin(u+2v)

Answer 5

yup, there is :
cosA sin B + sinA cos B = sin (A+B)
so here it would be
sin(u+v+v) = sin (u+2v)