Difference between revisions of "TrigCombine Command"

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(typo: transformes->transforms)
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{{command|function}}
 
{{command|function}}
 
;TrigCombine[ <Expression> ]
 
;TrigCombine[ <Expression> ]
:Transformes 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{sin(4x)-sin(2x)}{2}</math>.}}
 
:{{example|1=<code>TrigCombine[sin(x) cos(3x)]</code> gives <math>\frac{sin(4x)-sin(2x)}{2}</math>.}}
 
;TrigCombine[ <Expression>, <Target Function> ]
 
;TrigCombine[ <Expression>, <Target Function> ]
:Transformes 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[(tan(p) + tan(q)) / (1 - tan(p) tan(q)), tan(x)]</code> gives ''tan(p + q)''.}}
 
:{{example|1=<code>TrigCombine[(tan(p) + tan(q)) / (1 - tan(p) tan(q)), tan(x)]</code> gives ''tan(p + q)''.}}
 
{{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}}
 
{{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}}

Revision as of 08:50, 25 July 2012


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{sin(4x)-sin(2x)}{2}.
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[(tan(p) + tan(q)) / (1 - tan(p) tan(q)), tan(x)] gives tan(p + q).
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