1)  $cosx(cos2x+15)-5cos2x-11=0$
2)  $cos^{2}(x+\frac{\pi }{2})-cos^{2}x-3sinx+2=0$
3)  $\frac{tanx}{cos^{2}x}-4tanx-2=0$
4)  $3sin^{2}2x-14sin^{2}x+4=0$
5)  $cos^{2}2x+2(sinx+cosx)^{2}-3sin2x=3$
5) $Pt\Leftrightarrow 1-2sin^22x+2(sin^2x+cos^2x+2sinxcosx)-3sin2x-3=0 \Leftrightarrow 1-2sin^22x+2(1+sin2x)-3sin2x-3=0\Leftrightarrow 2sin^22x-sin2x=0\Leftrightarrow sin2x=.........$
Tự giải nốt nhé!!!
4) $Pt\Leftrightarrow 3(1-cos^22x)-14\frac{1-cos2x}{2}+4=0\Leftrightarrow -3cos^22x+7cos2x=0\Leftrightarrow cos2x=........$
3) ĐKXĐ $cos x \neq 0 \Leftrightarrow  x \neq \pi /2+k\pi $
$PT \Leftrightarrow  tanx(tan^2x+1)-4tanx-2=0\Leftrightarrow tan^3x-3tanx-2=0\Leftrightarrow tanx=..........$
Sử dụng $1+tan^2x=1/cos^2x$ Sau khi đưa dk về pt bậc 3 như trên thì bấm máy và giải nốt nhé!!!
2) $\frac{cos(2x+\pi )+1}{2}-(1-sin^2x)-3sinx+2=0\Leftrightarrow \frac{-cos2x+1}{2}+sin^2x-3sinx+1=0 \Leftrightarrow \frac{2sin^2x-1+1}{2}+sin^2x-3sinx+1=0 \Leftrightarrow 2sin^2x-3sinx+1=0 $
Đây là pt bậc hai đối với sinx bạn tự giải tiếp nhé!!!
1) $\cos x(2\cos^2 x-1+15)-5(2\cos^2x-1)-11=0 \\\Leftrightarrow 2\cos^3x-10\cos^2+14 \cos x-6=0\Leftrightarrow \left[ \begin{array}{l} \cos x=3\\ \cos x=1 \end{array} \right.$

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