Difference between revisions of "TrigCombine Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>{{betamanual|version=4.2}}
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
{{command|function}}
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;TrigCombine( <Expression> )
;TrigCombine[ <Expression> ]
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:Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
:Transformes a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
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:{{examples|1=<div>
:{{example|1=<code>TrigCombine[sin(x) cos(3x)]</code> gives <math>\frac{sin(4x)-sin(2x)}{2}</math>.}}
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:*<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>
;TrigCombine[ <Expression>, <Target Function> ]
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:*<code>TrigCombine(sin(x) + cos(x))</code> gives <math> {\sqrt{2}  cos \left( x - \frac{1}{4}  \pi \right)} </math>.</div>}}
:Transformes a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables, preferring the given target function.
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;TrigCombine( <Expression>, <Target Function> )
:{{example|1=<code>TrigCombine[(tan(p) + tan(q)) / (1 - tan(p) tan(q)), tan(x)]</code> gives ''tan(p + q)''.}}
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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.
{{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}}
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:{{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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{{notes|1= <div>
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:*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( p \right)}</math>.}}
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:*See also [[TrigExpand Command]] and [[TrigSimplify Command]].</div>}}

Latest revision as of 09:59, 9 October 2017


TrigCombine( <Expression> )
Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
Examples:
  • TrigCombine(sin(x) cos(3x)) gives {\frac{1}{2} sin \left( 4 x \right) - \frac{1}{2} sin \left( 2 x \right)}
  • 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)} .


Notes:
  • 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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