1/

\(2sin\frac{x}{2}\left(sin\frac{x}{2}+cos\frac{3x}{2}\right)-cos2x=0\)

2/

\(2cos^2x=1+sin3x+cos4x\)

3/

\(\sqrt{3}cos7x-2sin4xcos3x-sinx=0\)

4/

\(tanx+cotx=2\left(sin2x+cos2x\right)\)

5/

\(sin\left(x+\frac{\pi}{3}\right)+\sqrt{3}sin\left(\frac{\pi}{6}-x\right)=1\)

6/

\(sinx-\left(2-\sqrt{3}\right)cosx=1\)

7/

\(\frac{1}{cosx}+\left(\sqrt{3}-1\right)cosx=\left(\sqrt{3}+1\right)sinx\)

8/

\(sinx-\sqrt{3}cosx=2cos2x\)

9/

\(sin2x+cos2x+3sinx-cosx-2=0\)

10/\(8sin^2x+\sqrt{3}sin2x-6cos^2x+1=0\)

Tìm nghiệm của pt:

1) \(2cos2x+\sqrt{2}cos\frac{\pi}{4}=0\) thuộc khoảng (0;2π)

2) \(sin4x-cos4x+\sqrt{2}cos\left(4x-\frac{\pi}{4}\right)=\sqrt{6}\) thuộc khoảng (-π;5π)

1) \(4cos^24x+2\left(\sqrt{3}+\sqrt{2}\right)cos4x+\sqrt{6}=0\)

2) \(cos4x+2+sin\left(2x+\frac{3\pi}{2}\right)=2cos^2x\)

3) \(sin\left(x+\frac{\pi}{3}\right)+\sqrt{3}sin\left(\frac{\pi}{6}-x\right)=1\)

4) \(2cos\left(4x-\frac{\pi}{3}\right)+4cos2x=-1\)

5) \(cos^22x+cos^23x=sin^2x\)

6) \(sinx+\left(\sqrt{2}-1\right)cosx=1\)

7) \(cos2x-\left(\sqrt{3}+1\right)cosx+\frac{2+\sqrt{3}}{2}=0\)