Difference between revisions of "TrigCombine Command"
From GeoGebra Manual
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| − | ;TrigCombine | + | ;TrigCombine( <Expression> ) |
: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. | ||
:{{example|1=<code>TrigCombine[sin(x) cos(3x)]</code> gives <math>{\frac{1}{2} sin \left( 4 x \right) - \frac{1}{2} sin \left( 2 x \right)}</math>.}} | :{{example|1=<code>TrigCombine[sin(x) cos(3x)]</code> gives <math>{\frac{1}{2} sin \left( 4 x \right) - \frac{1}{2} sin \left( 2 x \right)}</math>.}} | ||
:{{example|1=<code>TrigCombine[sin(x) + cos(x)]</code> gives <math> {\sqrt{2} cos \left( x - \frac{1}{4} \pi \right)} </math>.}} | :{{example|1=<code>TrigCombine[sin(x) + cos(x)]</code> gives <math> {\sqrt{2} cos \left( x - \frac{1}{4} \pi \right)} </math>.}} | ||
| − | ;TrigCombine | + | ;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. | :Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables, preferring the given target function. | ||
:{{example|1=<code>TrigCombine[sin(x) + cos(x), sin(x)]</code> gives <math> {\sqrt{2} sin \left( x + \frac{1}{4} \pi \right)} </math>.}} | :{{example|1=<code>TrigCombine[sin(x) + cos(x), sin(x)]</code> gives <math> {\sqrt{2} sin \left( x + \frac{1}{4} \pi \right)} </math>.}} | ||
Revision as of 17:17, 7 October 2017
- 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)} .
Note: In the 
CAS View undefined variables can be used as well.
CAS View undefined variables can be used as well.
- Example:
TrigCombine[sin(p) cos(3p)]gives {\frac{1}{2} sin \left( 4 p \right) - \frac{1}{2} sin \left( 2 p \right)}.
Note: See also TrigExpand Command and TrigSimplify Command.
