$(sinx +3)sin^{4}\frac{x}{2}-(sinx +3)sin^{2}\frac{x}{2}+1=0$
giải pt lượng giác:$(sinx +3)sin^{4}\frac{x}{2}-(sinx +3)sin^{2}\frac{x}{2}+1=0$
Started By cuongdan, 25-09-2015 - 21:07
#2
Posted 25-09-2015 - 21:20
VuHongQuan
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$\sin^2 \frac{x}{2}.(\sin x+3)(\sin^2\frac{x}{2}-1)+1=0\\\Leftrightarrow 1-\sin^2\frac{x}{2}.\cos^2\frac{x}{2}.(\sin x +3)=0\\\Leftrightarrow 1-\frac{1}{4}\sin^2x(\sin x+3)=0\\\Leftrightarrow (\sin x+2)^2(\sin x-1)=0$
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