Werner Formulas/Also presented as

Werner Formulas: Also presented as

The Werner Formulas can also be presented as follows:

Sine by Sine

The Werner Formula for Sine by Sine can also be seen in the form:

$2 \sin \alpha \sin \beta = \map \cos {\alpha - \beta} - \map \cos {\alpha + \beta}$

Sine by Cosine

The Werner Formula for Sine by Cosine can also be seen in the form:

$2 \sin \alpha \cos \beta = \map \sin {\alpha - \beta} + \map \sin {\alpha + \beta}$

Cosine by Sine

The Werner Formula for Cosine by Sine can also be seen in the form:

$2 \cos \alpha \sin \beta = \map \sin {\alpha + \beta} - \map \sin {\alpha - \beta}$

Cosine by Cosine

The Werner Formula for Cosine by Cosine can also be seen in the form:

$2 \cos \alpha \cos \beta = \map \cos {\alpha - \beta} + \map \cos {\alpha + \beta}$

Sources

• Weisstein, Eric W. "Werner Formulas." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WernerFormulas.html