Difference between revisions of "TrigCombine Command"
From GeoGebra Manual
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:Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables. | :Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables. |
Revision as of 14:40, 11 August 2015
- 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)} .
Note: See also TrigExpand Command and TrigSimplify Command.