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Werner Formulas

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The Werner formulas are the trigonometric product formulas

2sinalphacosbeta=sin(alpha-beta)+sin(alpha+beta)
(1)
2cosalphacosbeta=cos(alpha-beta)+cos(alpha+beta)
(2)
2cosalphasinbeta=sin(alpha+beta)-sin(alpha-beta)
(3)
2sinalphasinbeta=cos(alpha-beta)-cos(alpha+beta).
(4)

This form of trigonometric functions can be obtained in the Wolfram Language using the command TrigReduce[expr].

See also

Prosthaphaeresis Formulas

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Cite this as:

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

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