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{1}{2} sin \left( 4 x \right) - \frac{1}{2} sin \left( 2 x \right)}.
Example: TrigCombine[sin(x) + cos(x)] gives {\sqrt{2} cos \left( x - \frac{1}{4} \pi \right)} .
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[sin(x) + cos(x), sin(x)] gives {\sqrt{2} sin \left( x + \frac{1}{4} \pi \right)} .


CAS Syntax

TrigCombine[ <Expression> ]
Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
Example: TrigCombine[sin(p) cos(3p)] gives {\frac{1}{2} sin \left( 4 p \right) - \frac{1}{2} sin \left( 2 p \right)}.


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[sin(p) + cos(p), sin(x)] gives {\sqrt{2} sin \left( p + \frac{1}{4} \pi \right)} .


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