\(4sin\left(2x+\frac{3\pi}{5}\right)c\text{os}\left(2x+\frac{3\pi}{5}\right)-\sqrt{3}=0\)
\(\frac{sin\left(2x+\frac{3\pi}{4}\right)}{c\text{os}\left(x+\frac{\pi}{4}\right)}+1=0\)
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) \(c\text{os^2}2x+c\text{os^2}3x+c\text{os^2}4x=0\)
Giải phương trình : \(\sqrt{2}\left(2cos^2x-3sin2x\right)=4cosx.sin2x+2\left(sinx-cosx\right)\)
giải các pt
a) \(cos^2x+sin2x-1=0\)
b) \(\sqrt{3}sin2x+\:cos^4x-sin^4x=\sqrt{2}\)
c) \(\:cos^2x-sin^2x=\sqrt{2}.sin\left(x+\frac{\pi}{4}\right)\)
d) \(4\left(sin^4x+cos^4x\right)+\sqrt{3}.sin4x=2\)
e) \(4sinx.cosx.cos2x+cos4x=\sqrt{2}\)
Giải phương trình
a) \(sin2x+\sqrt{2}sinx.sin2x=0\)
b) \(4sinx.cosx.cos2x-cos\frac{5x}{2}.sin\frac{3x}{2}=0\)
c) \(4sin3x+cosx-cos5x=0\)
d) \(2cos^2\left(x-\frac{\pi}{4}\right)+sin2x=0\)
e) \(sin\left(\frac{3\pi}{2}-sinx\right)=1\)
f) \(cos^2x-sin^2x+sin4x=0\)
\(c\text{os}\left(x-\frac{5\pi}{4}\right)=sin\left(x+\frac{3\pi}{4}\right)\)
Tìm m để phương trình \(sin4x\left(sinx+cosx\right)+msin2x=36\sqrt{2}\left(x-\frac{\pi}{4}\right)\) có 3 nghiệm phân biệt thuộc đoạn \(\left[0;\pi\right]\)
a)\(\sin^22x+\sqrt{3}\sin4x+3\cos^22x=0\)
b)\(\sqrt{2}\left(\sin x+\cos x\right)=\tan x+\cot x\)