TrigCombine Command

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TrigCombine[ <Expression> ]
Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
Example: TrigCombine[sin(x) cos(3x)] gives \frac{sin(4x)-sin(2x)}{2}.
TrigCombine[ <Expression>, <Target Function> ]
Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables, preferring the given target function.
Example: TrigCombine[(tan(p) + tan(q)) / (1 - tan(p) tan(q)), tan(x)] gives tan(p + q).
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