Question

Is it ever possible that sin (A+B)=⁡ (A+B)= sin⁡ A+sin⁡ B?

If so, explain how. If not, explain why not.

Answer 1

It will always be the case when A and B are opposites

Explanation:

sin(x) = -sin(-x) so ...

sin(A -A) = (A -A) = sin(A) -sin(A) = 0

That is, the given expression is true when B=-A.