\(4\sin x-3\cos x=5\)

\(\cos^2\left(\frac{\pi}{2}+2x\right)-\cos^22x-3\cos\left(\frac{\pi}{2}-2x\right)-4=0\)

\(\sin^6+\cos^6x=4\cos^22x\)

\(\frac{1+2\sin^2x-3\sqrt{2}\sin x+\sin2x}{2\sin x\cos x-1}=1\)

\(\sin4x\sin5x+\sin4x\sin3x-\sin2x\sin x=0\)

\(4\sin x-\sqrt{1-2\cos2x}=2\)

\(tan^43x-3\tan3x+1=0\)

\(c\text{os}6x+3cos4x=0\)

\(\cos^2x-\sin^2x=\sin3x+\cos4x\)

\(\cos x+\cos3x+2\cos5x=0\)