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I have the expression

Maf P ωm Sin[P t ωm]
 ((3 Vm)/(π R) + 
   Sum[
     -((6 (-1)^k Vm Cos[k p t w])/((-π + 36 k^2 π) * Sqrt[R^2 + k^2 L^2 p^2 w^2])),
     {k, 1, n}])

and I would like to have Mathematica automatically simplify it to expressions like Sin[k p t w + P t ωm] and Sin[k p t w - P t ωm]. How can I do that?

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  • 1
    $\begingroup$ You can use TrigReduce[Sin[P t ωm] Cos[k p t w] ] $\endgroup$ – yarchik Sep 19 at 13:46

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