$1-\cos x\cot x\sin x=\sin^2x$
$\frac{4x^2-1}{2x+1}$
$\left(\frac{x^2-3x-4}{x^2-7x+12}\right)\left(\frac{x^2+5x+6}{x^2-3x-18}\right)$
$n+m-n-2m+n^2$
$2\sin^2u-\sin u-1=0$
$y^4-2y^2+y=0$
$3-\:2\cos^2\left(x\right)=3\sin\left(x\right)$
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