Difference between revisions of "TrigCombine Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version=4.2}}</noinclude> | + | <noinclude>{{Manual Page|version=4.2}}</noinclude> |
{{command|function}} | {{command|function}} | ||
;TrigCombine[ <Expression> ] | ;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{sin(4x)-sin(2x)}{2}</math>.}} | :{{example|1=<code>TrigCombine[sin(x) cos(3x)]</code> gives <math>\frac{sin(4x)-sin(2x)}{2}</math>.}} | ||
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;TrigCombine[ <Expression>, <Target Function> ] | ;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[(tan(x) + tan(y)) / (1 - tan(x) tan(y)), tan(x)]</code> gives ''tan(x + y)''.}} | :{{example|1=<code>TrigCombine[(tan(x) + tan(y)) / (1 - tan(x) tan(y)), tan(x)]</code> gives ''tan(x + y)''.}} | ||
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==CAS Syntax== | ==CAS Syntax== | ||
;TrigCombine[ <Expression> ] | ;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{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> ] | ||
: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[(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)''.}} | ||
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{{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}} | {{note|See also [[TrigExpand Command]] and [[TrigSimplify Command]].}} |
Revision as of 11:37, 21 December 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(x) + tan(y)) / (1 - tan(x) tan(y)), tan(x)]
gives tan(x + y).
CAS Syntax
- 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).
Note: See also TrigExpand Command and TrigSimplify Command.