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, 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>.}} | ||
− | + | {{note|In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables can be used as well. | |
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:{{example|1=<code>TrigCombine[sin(p) cos(3p)]</code> gives <math>{\frac{1}{2} sin \left( 4 p \right) - \frac{1}{2} sin \left( 2 p \right)}</math>.}} | :{{example|1=<code>TrigCombine[sin(p) cos(3p)]</code> gives <math>{\frac{1}{2} sin \left( 4 p \right) - \frac{1}{2} sin \left( 2 p \right)}</math>.}} | ||
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{{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}} | {{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}} |
Revision as of 10:38, 1 October 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)} .
Note: In the 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.