\(cos5\text{x}+sin^2x=cos^2x\\ \Leftrightarrow cos5\text{x}=cos2x\\ \\ \Leftrightarrow\left[{}\begin{matrix}5x=2x+k2\pi\\5x=-2x+k2\pi\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}xx=\dfrac{k2\pi}{3}\\x\text{ }=\dfrac{k2\pi}{7}\end{matrix}\right.\)
Giải phương trình
1,sin3x+cos2x=1+2sinx*cos2x
2,cos5x+cos2x+2sin3x*sin2x=0
giải các pt
a) \(cosx+cos11x=cos6x\)
b) \(sin2x-cos5x=cosx-sin6x\)
c) \(sinx+sin2x+sin3x=cosx+cos2x+cos3x\)
Giải các pt
a) \(\left(cos2x+1\right)\left(cos2x+2\right)=0\)
b) \(cos5x-sin40^o=0\)
c) \(sin3x+cosx=0\)
d) \(sin2x+\sqrt{3}sinx=0\)
Giai các pt sau
1. \(\sqrt{3}\cos5x-2\sin3x.\cos2x-\sin x=0\)
4. \(\sin3x+\cos3x-\sin x+\cos x=\sqrt{2}\cos2x\)
6. \(\sin x+\cos x.\sin2x+\sqrt{3}\cos3x=2\left(\cos4x+\sin x^3\right)\)
sin2x - cos5x = cos x- sin 6x
cos2x-sin3x+cos5x=sin10x+8cosx
Giải PT
a1) \(\dfrac{\left(1-2\sin x\right)\cos x}{\left(1+2\sin x\right)\left(1-\sin x\right)}=\sqrt{3}\)
a2) \(2\sin17x+\sqrt{3}\cos5x+\sin5x=0\)
a3) \(\)\(\cos7x-\sin5x=\sqrt{3}\left(\cos5x-\sin7x\right)\)
a4) \(\sqrt{3}\cos5x-2\sin3x\cos2x-\sin x=0\)
a5) \(\tan x+\cot x=2\left(\sin2x+\cos2x\right)\)
\(\cos5x+2\sin x\cos x+2\sin3x\sin2x=0\)
1) cos3x - cos4x + cos5x =0
2) sin3x + cos2x = 1 + 2sinx.cos2x
3) cos2x - cosx = 2 sin\(^2\)\(\dfrac{3x}{2}\)
4) cos\(^2\)2x + cos\(^2\)3x = sin\(^2\)x
5) sin3x.sin5x - cos4x.cos6x = 0
