Category:Weierstrass Substitution
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This category contains pages concerning Weierstrass Substitution:
The Weierstrass Substitution is an application of Integration by Substitution.
The substitution is:
- $u \leftrightarrow \tan \dfrac \theta 2$
for $-\pi < \theta < \pi$, $u \in \R$.
It yields:
Sine
- $\sin \theta = \dfrac {2 u} {1 + u^2}$
Cosine
- $\cos \theta = \dfrac {1 - u^2} {1 + u^2}$
Derivative
- $\dfrac {\d \theta} {\d u} = \dfrac 2 {1 + u^2}$
Pages in category "Weierstrass Substitution"
The following 11 pages are in this category, out of 11 total.