$tan\left(b\right)+cot\left(b\right)=2csc\:\left(2b\right)$
$cos\left(4x\right)=cos\left(2x\right)-sin\left(2x\right)$
$42f^2+10f^2-20f^2-36f^2$
$-\left(-5+7\right)$
$\lim_{x\to\infty}e\frac{3x+6}{x^2-1}$
$4x+3\le15$
$\int\frac{4x+9}{\left(6x^2+27x\right)^4}dx$
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