Graph for $f(x)=\sin x\cos x$ Okay, so in my math homework I'm supposed to draw a graph of the following function:
$$f(x)=\sin x \cos x.$$
I have the solution in the textbook, but I just can't figure out how they got to that. So, if someone could please post (a slightly more detailed) explanation for this, it would be really appreciated.
I have to turn the homework this Wednesday, but since I already have the solution the answer doesn't have to be really swift. Bonus points if it is, tohugh

Here is a hint:  Can you draw the graph of $\sin x$?  What about $a\sin{(bx)}$?  Then recall the identity $$\sin{x} \cos{x} = \frac{1}{2} \sin {2x}.$$ 
Maybe that helps.
Edit:  This is just one way, there are many.  As asked in the above comments, how are you supposed to solve it?  What tools do you have your disposal?  What type of things have you being taught so far?
