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

Although this isn't obviously a general rule, you can choose the special case
`A=B=0`, and the expression will become true:

`\sin(0+0)=0+0=\sin(0)+\sin(0)`

because all these expressions return 0.