\(\tan x+\tan2x=\sin3x\cos x\)

\(3\cos2x+4\cos^3x-\cos3x=0\)

\(\tan^2\left(2x-\frac{\pi}{4}\right)=3\)

\(3\tan2x-3\tan x-\frac{5}{2}=0\)

\(\cos\left(x+\frac{\pi}{5}\right)+\sqrt{3}sin\left(x+\frac{\pi}{5}\right)=0\left(x\in\text{[}-2020\pi;\frac{\pi}{2}\text{]}\right)\)

\(2tanx+cotx=2sin2x+\frac{1}{sin2x}\)

\(\frac{\sin^22x-2}{\sin^22x-4\cos^2x}=\tan^2x\)

\(\tan x+\sqrt{3}\cot x-\left(1+\sqrt{3}\right)=0\)

\(\frac{-2}{\cos x}=t\text{anx}+\cot x\)

\(2\tan x\sin x-\tan x=0\)