ĐKXĐ: ...
\(\Leftrightarrow tan\left(3x+\frac{\pi}{2}\right)=\frac{1}{cot\left(5x+1\right)}=tan\left(5x+1\right)\)
\(\Leftrightarrow5x+1=3x+\frac{\pi}{2}+k\pi\)
\(\Leftrightarrow2x=\frac{\pi}{2}-1+k\pi\)
\(\Rightarrow x=\frac{\pi}{4}-\frac{1}{2}+\frac{k\pi}{2}\)
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 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) \(\cot\left(2x+\pi\right)=-1\)
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
Giải các phương trình :
a) \(\tan\left(2x+45^0\right)=-1\)
b) \(\cot\left(x+\dfrac{\pi}{3}\right)=\sqrt{3}\)
c) \(\tan\left(\dfrac{x}{2}-\dfrac{\pi}{4}\right)=\tan\dfrac{\pi}{8}\)
d) \(\cot\left(\dfrac{x}{3}+20^0\right)=-\dfrac{\sqrt{3}}{3}\)
Giải các phương trình sau:
a, sinx+cosx+1+sin2x+cos2x=0
b, sinx(1+cos2x)+sin2x=1+cos2x
c, \(\frac{1}{sinx}+\frac{1}{sin\left(x-\frac{3\pi}{2}\right)}=4sin\left(\frac{7\pi}{4}-x\right)\)
d, sin4x+cos4x=\(\frac{7}{8}cot\left(x+\frac{\pi}{3}\right)cot\left(\frac{\pi}{6}-x\right)\)
Giải các phương trình :
a, \(cos\left(2x+\frac{\pi}{6}\right)=0\)
b, \(cos\left(4x-\frac{\pi}{3}\right)=1\)
c, \(cos\left(2x+25^o\right)=\frac{-\sqrt{2}}{2}\)
d, cot\(\left(3x+10^o\right)=\frac{\sqrt{3}}{3}\)
giải các phương trình sau : a) \(\tan3x=\tan\frac{3\pi}{5}\) ; b) \(\tan\left(x-15^o\right)=5\) ; c) \(\tan\left(2x-1\right)=\sqrt{3}\) ; d) \(\cot2x=\cot\left(-\frac{1}{3}\right)\) ; e) \(\cot\left(\frac{x}{4}+20^o\right)=-\sqrt{3}\) ; f) \(\cot3x=\tan\frac{2\pi}{5}\)
