I have a problem that I cannot seem to solve. I need to prove the following identity,
$$\sin(11x) = 2\sin(8x)\cos(3x)-\sin(5x)$$
I do not understand how to go about this problem, as clearly expanding each term using compound and double angle formulas would be inefficient and take up a lot of space. I feel like there must be a shortcut to take. I have a test tomorrow and this is one of the practice questions. Therefore, I would immensely appreciate any help right now!