1\\\\
cosx=0\\
x=\frac{\pi}{2}+\pi\*k
" alt="cos4x-cos^2x=1\\
2cos^22x-1-cos^2x=1\\
2(2cos^2x-1)^2-cos^2x-2=0\\
cos^2x=t\\
2(2t-1)^2-t-2=0\\
2(4t^2-4t+1)-t-2=0\\
8t^2-9t=0\\
t(8t-9)=0\\
t=0\\
t=\frac{9}{8}>1\\\\
cosx=0\\
x=\frac{\pi}{2}+\pi\*k
" align="absmiddle" class="latex-formula">