\(cos^2\left(\frac{\pi}{3}+x\right)+4sin\left(x+\frac{\pi}{3}\right)-4=0\)
\(\Leftrightarrow1-sin^2\left(x+\frac{\pi}{3}\right)+4sin\left(x+\frac{\pi}{3}\right)-4=0\)
\(\Leftrightarrow sin^2\left(x+\frac{\pi}{3}\right)-4sin\left(x+\frac{\pi}{3}\right)+3=0\)
\(\Leftrightarrow\left[{}\begin{matrix}sin\left(x+\frac{\pi}{3}\right)=1\\sin\left(x+\frac{\pi}{3}\right)=3\left(l\right)\end{matrix}\right.\)
\(\Rightarrow x+\frac{\pi}{3}=\frac{\pi}{2}+k2\pi\)
\(\Leftrightarrow...\)
giải pt \(cos\left(2x+\frac{2\pi}{3}\right)+3cos\left(x+\frac{\pi}{3}\right)+2=0\)
cos2x-√3 sin2x=sin3x+1
3sin2x+4cos2x+5cos2003x=0
√3sin(x-\(\frac{\pi}{3}\))\(+sin\left(x+\frac{\pi}{6}\right)-2sin1972x=0\)
\(\sqrt{2}cos\left(\frac{x}{5}-\frac{\pi}{12}\right)-\sqrt{6}sin\left(\frac{x}{5}-\frac{\pi}{12}\right)=2sin\left(\frac{x}{5}+\frac{2\pi}{3}\right)-2sin\left(\frac{3x}{5}+\frac{\pi}{6}\right)\)
Giải phương trình lượng giác:
\(\tan^3\left(x-\frac{\pi}{4}\right)=\frac{\sqrt{2}\sin\left(x-\frac{\pi}{4}\right)}{\cos x}\)
\(cos\left(\dfrac{3\pi}{5}-2x\right)-4cos\left(x+\dfrac{\pi}{5}\right)=\sqrt{3}sin\left(x+\dfrac{7\pi}{10}\right)+2\sqrt{3}\)
Giải phương trình :3
Giải Pt
a. sin3x = sin \(\left(90^0-x\right)\)
b. cos(3x+ \(45^0\)) = -cosx
c. sin ( 2x+\(\frac{\pi}{3}\)) + sinx = 0
d. sin \(\left(x-\frac{2\pi}{3}\right)\)- cos2x=0
e. cos ( 2x - \(\frac{\pi}{4}\)) - sin ( 2x+\(\frac{\pi}{3}\)) =0
Giải phương trình:
1.\(cos^3x.cos3x+sin^3x.sin3x=\frac{\sqrt{2}}{4}\)
2.\(cos^34x=cos^3x.cos3x+sin^3x.sin3x\)
3.\(cos^2x-4sin^2\left(\frac{x}{2}-\frac{\pi}{4}\right)+2=0\)
4.\(sin^4x+sin^4\left(x+\frac{\pi}{4}\right)=\frac{1}{4}\)
5.\(sin^6x+cos^6x=\frac{5}{6}\left(sin^4x+cos^4x\right)\)
6.\(sin^6x+cos^6x+\frac{1}{2}sinx.cosx=0\)
7.\(\frac{1}{2}\left(sin^4x+cos^4x\right)=sin^2x.cos^2x+sinx.cosx\)
8.\(sin^6x+cos^6x-3cos8x+2=0\)
9.\(sin^4x+cos^4x-2\left(sin^6\frac{x}{2}+cos^6\frac{x}{2}\right)+1=0\)
Giải Pt. Tìm nghiệm x \(x\in\left[0;2\pi\right]\)
cos (2x+\(\frac{\pi}{3}\)) = 0
Giai phuong trinh
1.\(tan\left(x+\frac{\pi}{3}\right).tan\left(2x-\frac{\pi}{4}\right)=1\)
2.\(tan\left(x+1\right).cot\left(2x+3\right)=1\)
3.\(tan^22x+\frac{1}{cos^22x}=7\) với \(0^0< x< 360^0\)
GPT sau: \(4\sin\left(x+\dfrac{\pi}{3}\right)-2\sin\left(2x-\dfrac{\pi}{6}\right)=\sqrt{3}\cos x+\cos2x-2\sin x+2\)