\(\Leftrightarrow2x=arctan\left(4\right)+k\pi\)
\(\Rightarrow x=\dfrac{1}{2}arctan\left(4\right)+\dfrac{k\pi}{2}\) (\(k\in Z\))
\(\Leftrightarrow2x=arctan\left(4\right)+k\pi\)
\(\Rightarrow x=\dfrac{1}{2}arctan\left(4\right)+\dfrac{k\pi}{2}\) (\(k\in Z\))
\(\dfrac{tan\left(x\right)}{1-tan^2\left(x\right)}=\dfrac{1}{2}cot\left(x+\dfrac{\pi}{4}\right)\)
Giải phương trình \(4\cos^2x+3\tan^2x-4\sqrt{3}\cos x+2\sqrt{3}\tan x+4=0\)
Giải phương trình: \(\cot x+\sin x\left(1+\tan x\tan\frac{x}{2}\right)=4\)
Giải PT
a) \(\left|\sin x-\cos x\right|+\left|\sin x+\cos x\right|=2\)
b) \(\tan x-3\cot x=4\left(\sin x+\sqrt{3}\cos x\right)\)
c) \(2\sin^2x-2\sqrt{2}\sin x+3\tan^22x-2\sqrt{3}\tan2x+2=0\)
Giải phương trình
\(\sin x+2\cos x+2\tan x+4\cot x+6=0\)
Sin2(x/2-pi/4)tan2x-cos2x/2=0
\(\tan\left(4x-\frac{\pi}{4}\right)+\tan\left(x+\frac{\pi}{2}\right)=0\)
1)giải pt a)√2 cos2x-1=0
b) sinx =cos3x
c) cos (x+π/3) +sin(3x+π/4)=0
d)tan 2x = cot (x+π/4)
e) sin x = √3 cos x
f) tan^2(π/3-2x)-3=0
9, giai pt
\(\frac{tan^2x+tanx}{tan^2x+1}=\frac{\sqrt{2}}{2}sin\left(x+\frac{n}{4}\right)\)