đề thi thử ĐH khới A 2013 THPT Tam Nông
[tex] dk cos3x\neq 0, sin4x\neq0, cosx\neq 0[/tex]
[tex]2tan3x+tan2x=tanx+\frac{2}{sin4x}[/tex]
[tex]\Leftrightarrow 2\frac{sin3x}{cos3x} +\frac{sin2x}{cos3x}=\frac{sinx}{cosx} +\frac{2}{sin4x}[/tex]
[tex] \frac{sinx}{cosx}(\frac{2(3-4sin^2x)-4cos^2x+3}{4cos^2x-3})+\frac{sin^22x-1}{cos2x}=0[/tex]
[tex] \frac{sinx}{cosx}(\frac{5}{4cos^2x-3}) +\frac{sin^2x(2cos^2x-1}{2cos^2x-1} +\frac{cos^2x(2sin^2x-1)}{1-2sin^2x}=0[/tex]
[tex] {sinx}{cosx}(\frac{5}{4cos^2x-3}) + sin^2x-cos^2x=0[/tex]
\Leftrightarrow[tex] 5sinx +sin^2x(4cos^3x-3cosx) -cos^2x(4cos^3x-3cosx)=0[/tex]
\Rightarrow[tex] 5(1+tan^2x)^2+tan^2x(4-3(1+tan^2x)-(4-3(1+tan^2x)=0[/tex]
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