Weierstrass Substitution
For trigonometric rational functions, put:
$$t=\tan\frac{x}{2}$$
then:
$$\sin x=\frac{2t}{1+t^2}$$
and:
$$\cos x=\frac{1-t^2}{1+t^2}$$
Usage
- Used to convert rational functions of $$\sin x$$ and $$\cos x$$ into rational functions of $$t$$.