$\frac{2\sin\left(x\right)^2}{\sin\left(2x\right)}+\frac{1}{\tan\left(x\right)}=\left(\sec\left(x\right)\right)\left(\csc\left(x\right)\right)$

$\frac{cosx\left(x\right)}{1+sin\left(x\right)}+tan\left(x\right)$

$\left(\tan\left(y\right)+\frac{1}{\tan\left(y\right)}\right)\left(1-\cos\left(y\right)^2\right)$

$\int3x\ln5x^2dx$

$\frac{d}{dx}\left(tan\left(xy\right)-y^2-\frac{x}{y}=5\right)$

$-6+\left|-9\right|-\left|+3\right|$

$\lim_{x\to\infty}\left(\left(x\right)^{\frac{2}{x}}\right)$