Giải các PT sau:a) $\sin2x + 2\tan x=3$
b) $\cot x-\tan x+4\sin2x=\frac{2}{\sin2x}$
c) $(1-\tan x)(1+\sin2x)=1+\tan x$
d) $\sin4x=\tan x$
e)$\sin^{8}x+\cos^{8}x=2(\sin^{10}x+\cos^{10}x)+\frac{5}{4}\cos2x$
f) $\cot x-1=\frac{\cos2x}{1+\tan x}+\sin^{2}x-\frac{1}{2}\sin2x$
g)$\sin2x+\sqrt{2}\sin(x-\frac{\pi}{4})=0$
h)$3\cos4x-2\cos^{2}3x=1$
i) $3\tan2x-4\tan3x=\tan^{2}3x.\tan2x$
k)$2\cos^2(\frac{3x}{5})+1=3\cos\frac{4x}{5}$
k)$\cos^{2}x+\cos^{2}2x+\cos^{2}3x+\cos^{2}3x+\cos^{2}4x=2$