SymPy Gamma

SymPy:

(1-sin (x)**2)/(1+tan (x)**2)

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

cos(x)**4

$\cos^{4}{\left(x \right)}$

Plot:

Roots:

solve((1 - sin(x)**2)/(tan(x)**2 + 1), x)

$x =$

diff((1 - sin(x)**2)/(tan(x)**2 + 1), x)

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

series((1 - sin(x)**2)/(tan(x)**2 + 1), x, 0, 10)

See what Wolfram|Alpha has to say.

Experiment with SymPy at SymPy Live.