TrigCombine Command
- TrigCombine( <Expression> )
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Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
Examples:
-
TrigCombine(sin(x) cos(3x))
gives \(\{\frac{1}\{2} sin \left( 4 x \right) - \frac{1}\{2} sin \left( 2 x \right)}\) -
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.
TrigCombine(sin(x) + cos(x), sin(x))
gives \( \{\sqrt{2} sin \left( x + \frac{1}\{4} \pi \right)} \).
Notes:
|
TrigCombine(sin(p) cos(3p))
gives \(\{\frac{1}\{2} sin \left( 4 p \right) - \frac{1}\{2} sin \left( 2 p
\right)}\).
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See also TrigExpand Command and TrigSimplify Command.