Difference between revisions of "TrigExpand Command"

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{{command|cas=true|function}}
 
{{command|cas=true|function}}
 
;TrigExpand[ <Expression> ]
 
;TrigExpand[ <Expression> ]
:Transformes a trigonometric expression into an expression using only simple variables as arguments.
+
:Transforms a trigonometric expression into an expression using only simple variables as arguments.
 
:{{example|1=<code>TrigExpand[tan(x + y)]</code> gives <math>\frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}</math>.}}
 
:{{example|1=<code>TrigExpand[tan(x + y)]</code> gives <math>\frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}</math>.}}
 
;TrigExpand[ <Expression>, <Target Function> ]
 
;TrigExpand[ <Expression>, <Target Function> ]
:Transformes a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function.
+
:Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function.
 
:{{example|1=<code>TrigExpand[tan(x + y), tan(x)]</code> gives <math>\frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}</math>.}}
 
:{{example|1=<code>TrigExpand[tan(x + y), tan(x)]</code> gives <math>\frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}</math>.}}
 
==CAS Syntax==
 
==CAS Syntax==
 
;TrigExpand[ <Expression> ]
 
;TrigExpand[ <Expression> ]
:Transformes a trigonometric expression into an expression using only simple variables as arguments.
+
:Transforms a trigonometric expression into an expression using only simple variables as arguments.
 
:{{example|1=<code>TrigExpand[tan(x + y)]</code> gives <math>\frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}</math>.}}
 
:{{example|1=<code>TrigExpand[tan(x + y)]</code> gives <math>\frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}</math>.}}
 
;TrigExpand[ <Expression>, <Target Function> ]
 
;TrigExpand[ <Expression>, <Target Function> ]
:Transformes a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function.
+
:Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function.
 
:{{example|1=<code>TrigExpand[tan(x + y), tan(x)]</code> gives <math>\frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}</math>.}}
 
:{{example|1=<code>TrigExpand[tan(x + y), tan(x)]</code> gives <math>\frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}</math>.}}
 
;TrigExpand[ <Expression>, <Target Function>, <Target Variable> ]
 
;TrigExpand[ <Expression>, <Target Function>, <Target Variable> ]
:Transformes a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function and tagret variable.
+
:Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function and tagret variable.
 
:{{example|1=<code>TrigExpand[sin(x), sin(x), x/2]</code> gives <math>2cos(\frac{x}{2})sin(\frac{x}{2})</math>.}}
 
:{{example|1=<code>TrigExpand[sin(x), sin(x), x/2]</code> gives <math>2cos(\frac{x}{2})sin(\frac{x}{2})</math>.}}
 
;TrigExpand[ <Expression>, <Target Function>, <Target Variable>, <Target Variable> ]
 
;TrigExpand[ <Expression>, <Target Function>, <Target Variable>, <Target Variable> ]
:Transformes a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function and target variables.
+
:Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function and target variables.
 
:{{example|1=<code>TrigExpand[csc(x) - cot(x) + csc(y) - cot(y), tan(x), x/2, y/2]</code> gives <math>tan(\frac{x}{2})+tan(\frac{y}{2})</math>.}}
 
:{{example|1=<code>TrigExpand[csc(x) - cot(x) + csc(y) - cot(y), tan(x), x/2, y/2]</code> gives <math>tan(\frac{x}{2})+tan(\frac{y}{2})</math>.}}
 
{{note|See also [[TrigSimplify Command]] and [[TrigCombine Command]].}}
 
{{note|See also [[TrigSimplify Command]] and [[TrigCombine Command]].}}

Revision as of 08:49, 25 July 2012


TrigExpand[ <Expression> ]
Transforms a trigonometric expression into an expression using only simple variables as arguments.
Example: TrigExpand[tan(x + y)] gives \frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}.
TrigExpand[ <Expression>, <Target Function> ]
Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function.
Example: TrigExpand[tan(x + y), tan(x)] gives \frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}.

CAS Syntax

TrigExpand[ <Expression> ]
Transforms a trigonometric expression into an expression using only simple variables as arguments.
Example: TrigExpand[tan(x + y)] gives \frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}.
TrigExpand[ <Expression>, <Target Function> ]
Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function.
Example: TrigExpand[tan(x + y), tan(x)] gives \frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}.
TrigExpand[ <Expression>, <Target Function>, <Target Variable> ]
Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function and tagret variable.
Example: TrigExpand[sin(x), sin(x), x/2] gives 2cos(\frac{x}{2})sin(\frac{x}{2}).
TrigExpand[ <Expression>, <Target Function>, <Target Variable>, <Target Variable> ]
Transforms a trigonometric expression into an expression using only simple variables as arguments, preferring the given target function and target variables.
Example: TrigExpand[csc(x) - cot(x) + csc(y) - cot(y), tan(x), x/2, y/2] gives tan(\frac{x}{2})+tan(\frac{y}{2}).
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