1.$5sinx-2=3.(1-sinx)tan^{2}$
2.$2sin3x-\frac{1}{sinx}=2cos3x+\frac{1}{cosx}$
2) Dk $x \ne \frac{k\pi}{2}$
$pt\Leftrightarrow 2(\sin 3x-\cos 3x)=\frac{\sin x+\cos x}{\sin x\cos x}$
$\Leftrightarrow \sqrt 2.\sin\left(3x-\frac{\pi}4 \right)\sin 2x=\sqrt 2 \cos\left(x-\frac{\pi}4 \right)$
$\Leftrightarrow \sin\left(3x-\frac{\pi}4 \right).\sin 2x=\cos\left(x-\frac{\pi}4 \right)$ 
$\Leftrightarrow \cos \left( x-\frac{\pi}4 \right)-\cos \left( 5x-\frac{\pi}4\right)=2\cos\left(x-\frac{\pi}4 \right)$
$\Leftrightarrow \cos \left( 5x-\frac{\pi}4\right)+\cos \left( x-\frac{\pi}4\right)=0$
$\Leftrightarrow \cos\left( 3x-\frac{\pi}{4}\right) .\cos 2x=0$
uh :D­­­­ –  tran85295 26-07-16 08:23 PM
mà bằng tuổi :3 –  kevotinhhn2k 26-07-16 08:20 PM
e ko đủ danh vọng để vote :3 –  kevotinhhn2k 26-07-16 08:19 PM
bạn chấp nhận đúng và vote up hộ mình nhé :)) –  tran85295 26-07-16 08:17 PM
fb.com/trannam.2k –  tran85295 26-07-16 08:17 PM
thanks a ạ....a cho e xin fb đk k ạ??? –  kevotinhhn2k 26-07-16 08:14 PM
1 Đk: $\cos x \ne0$, khi đó ta có $\sin x \ne -1$
$pt\Leftrightarrow 5\sin x-2=3.\frac{1-\sin^2x}{1+\sin x}.\frac{\sin^2x}{\cos^2x}$
$\Leftrightarrow 5 \sin x-2=\frac{3\sin^2x}{\sin x+1}$
$\Leftrightarrow 2 \sin x^2+3 \sin x-2=0\Leftrightarrow \sin x=\frac 12.$

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