How can it be shown that $\displaystyle 16x\cos(8x)+4x\sin(8x)-2\sin(8x)<|17x|$?

This problem arises from work with damped motion in spring-mass systems in Differential Equations. I have gotten to this inequality after some algebraic manipulation, but am completely stuck here.

Here is the illustrative graph provided by Wolfram Alpha:

http://i.stack.imgur.com/oWf9E.png

Thanks!