\(tan\left(\frac{\Pi}{3}-3x\right)+tan2x+tanx=\sqrt{3}\)
\(tan\left(\frac{\Pi}{3}-3x\right)+tan2x+tanx=\sqrt{3}\)
\(4sin^2\left(x+\frac{\Pi}{6}\right)+sin2x=1\)
Giair các pt lượng giác sau:
1) \(sin\left(x-\frac{\pi}{4}\right)\left(2cos+\sqrt{2}\right)tan2x=0\)
2) \(tan2x.sinx+3\left(sin-\sqrt{3}tan2x\right)-3\sqrt{3}=0\)
3) \(\frac{cos2x}{sin\left(x+\frac{3\pi}{4}\right)}=\frac{sin\left(x+\frac{3\pi}{4}\right)}{cos2x}\)
4) \(\left(\frac{tanx-1}{tanx+1}+cot2x\right)\left(3tan-\sqrt{3}\right)=0;0< x< \pi\)
giải pt
a) \(tan\left(x+\frac{\pi}{3}\right)=cot\left(3x-\frac{\pi}{6}\right)\)
b) \(\left(\sqrt{3}-\frac{3}{tanx}\right).tanx=0\)
giải pt
a) \(tanx.tan\frac{\pi}{9}=1+tan\frac{\pi}{9}.tan\frac{\pi}{90}+tanx.tan\frac{\pi}{90};\left(-2\pi< x< 2\pi\right)\)
b) \(tan^22x+\frac{1}{cos^22x}=7;\left(0< x< 360^0\right)\)
c) \(tan^3x+\frac{1}{cos^2x}+4\sqrt{3}\left(1+tanx\right)=8+7tanx;\left(-\pi< x< \pi\right)\)
\(\tan\left(\frac{\Pi}{3}-4x\right)+\tan\left(\frac{\Pi}{6}+x\right)+\tan2x=\cot x\)
Giải các phương trình sau:
a, cot \(\left(\frac{5\pi}{3}-3x\right)\)- tan \(\left(2x+\frac{\pi}{3}\right)\)=0
b, cotx.cot2x=-1
c, tanx=3cotx
d, 2sin2x+cos2x=2
Tim nghiệm của phương trình \(tan2x+\sqrt{3}=0\) trên khoảng \(\left(-\pi;\frac{3\pi}{4}\right)\)
Giải các pt sau:
a) \(\sin\left(3x+60^o\right)=\dfrac{1}{2}\)
b) \(\cos\left(2x-\dfrac{\pi}{3}\right)=\dfrac{-\sqrt{2}}{2}\)
c) \(\tan\left(x+\dfrac{\pi}{6}\right)=\sqrt{3}\)
d) \(\cot\left(2x+\pi\right)=-1\)