\(7\tan x-4\cot x=0\)

\(\tan\left(4x-\frac{\pi}{4}\right)+\tan\left(x+\frac{\pi}{2}\right)=0\)

\(\sin^2x-\cos x+1=0\)

\(\cos^2x+\cos^22x+\cos^23x=0\)

1) \(c\text{os}x+c\text{os}2x+c\text{os}3x=0\)

2) \(c\text{os}3x+c\text{os}4x+c\text{os}5x=0\)

3) \(c\text{os^2}x+c\text{os^2}2x+c\text{os^2}3x=0\)

4) \(c\text{os^2}2x+c\text{os^2}3x+c\text{os^2}4x=0\)

\(c\text{os}\left(x-\frac{5\pi}{4}\right)=sin\left(x+\frac{3\pi}{4}\right)\)

\(\frac{c\text{os}\left(x+\frac{5\pi}{6}\right)}{c\text{os}\left(2x-\frac{\pi}{6}\right)}+tan\left(2x-\frac{\pi}{6}\right)=0\)

\(\frac{sin\left(2x+\frac{3\pi}{4}\right)}{c\text{os}\left(x+\frac{\pi}{4}\right)}+1=0\)

\(5sin\left(2x-\frac{\pi}{4}\right)-2=0\)

\(4sin\left(2x+\frac{3\pi}{5}\right)c\text{os}\left(2x+\frac{3\pi}{5}\right)-\sqrt{3}=0\)