cosxcos2x=cos3x
< = > \(\dfrac{1}{2}[cos\left(-x\right)+cos3x]\)
<=>cosx+cos3x=2cos3x
<=>\(\left[{}\begin{matrix}x=3x+k2\pi\\x=-3x+k2\pi\end{matrix}\right.\)
<=>\(\left[{}\begin{matrix}-2x=k2\pi\\4x=k2\pi\end{matrix}\right.\)
<=>\(\left[{}\begin{matrix}x=-k\pi\\x=k\dfrac{\pi}{4}\end{matrix}\right.\)