Difference between revisions of "TrigCombine Command"

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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>.}}
 
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{{note|In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables can be used as well.
==CAS Syntax==
 
;TrigCombine[ <Expression> ]
 
:Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
 
 
:{{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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}}
;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|1=<code>TrigCombine[sin(p) + cos(p), sin(x)]</code> gives <math> {\sqrt{2}  sin \left( p + \frac{1}{4}  \pi \right)} </math>.}}
 
  
 
{{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 Menu view cas.svg 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)}.
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