\(\displaystyle{ 6ctg^{2}x-4cos^2x=1}\)
\(\displaystyle{ 4sin^{2}x+sin^2 2x=3}\)
\(\displaystyle{ ctg^{2}x+4cos2x=5}\)
\(\displaystyle{ tgx+ctgx=4sin2x}\)
\(\displaystyle{ (cosx+sinx)^2-sin2x=\frac{1}{2}sin^2x+2cos^4x}\)
\(\displaystyle{ 4cos^2x+cos^2x=2}\)
\(\displaystyle{ 5sin^2x-3cos^2x=ctg^2x}\)
\(\displaystyle{ 2cos2x+2cos4x+3sin^2x=1}\)