Difference between revisions of "TrigSimplify Command"

From GeoGebra Manual
Jump to: navigation, search
(command syntax: changed [ ] into ( ))
 
(6 intermediate revisions by 4 users not shown)
Line 1: Line 1:
<noinclude>{{Manual Page|version=4.2}}</noinclude>
+
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
{{command|cas=true|function}}
+
;TrigSimplify( <Expression> )
;TrigSimplify[ <Expression> ]
+
:Simplifies the given trigonometric expression.
:Simplifies the given trigonometric Expression.
 
 
:{{examples|1=<div>
 
:{{examples|1=<div>
:*<code>TrigSimplify[1 - sin(x)^2]</code> gives ''cos²(x)''.
+
:*<code>TrigSimplify(1 - sin(x)^2)</code> gives ''cos²(x)''.
:*<code>TrigSimplify[sin(x)^2 - cos(x)^2 + 1]</code> gives ''2 sin²(x)''.</div>}}
+
:*<code>TrigSimplify(sin(x)^2 - cos(x)^2 + 1)</code> gives ''2 sin²(x)''.</div>}}
 +
{{note|1=This command works only for variables "x", "y" and "z" in the [[File:Menu view algebra.svg|link=|16px]] [[Algebra View]]}}
  
 
==CAS Syntax==
 
==CAS Syntax==
;TrigSimplify[ <Expression> ]
+
;TrigSimplify( <Expression> )
:Simplifies the given trigonometric Expression.
+
:Simplifies the given trigonometric expression.
 
:{{examples|1=<div>
 
:{{examples|1=<div>
:*<code>TrigSimplify[1 - sin(x)^2]</code> gives ''cos²(x)''
+
:*<code>TrigSimplify(1 - sin(x)^2)</code> gives ''cos²(x)''
:*<code>TrigSimplify[sin(x)^2 - cos(x)^2 + 1]</code> gives ''2 sin²(x)''.</div>}}
+
:*<code>TrigSimplify(sin(x)^2 - cos(x)^2 + 1)</code> gives ''2 sin²(x)''.</div>}}
 
 
 
{{note|1=<div>  
 
{{note|1=<div>  
:* This command works for the variable ''x'' only! (<code>TrigSimplify[1 - sin(y)^2]</code> gives ''-sin²(y) + 1''.)
+
* This command works for all variables in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]]
:* See also [[TrigExpand Command]] and [[TrigCombine Command]].</div>}}
+
* See also [[TrigExpand Command]] and [[TrigCombine Command]].</div>}}

Latest revision as of 10:02, 9 October 2017


TrigSimplify( <Expression> )
Simplifies the given trigonometric expression.
Examples:
  • TrigSimplify(1 - sin(x)^2) gives cos²(x).
  • TrigSimplify(sin(x)^2 - cos(x)^2 + 1) gives 2 sin²(x).
Note: This command works only for variables "x", "y" and "z" in the Menu view algebra.svg Algebra View

CAS Syntax

TrigSimplify( <Expression> )
Simplifies the given trigonometric expression.
Examples:
  • TrigSimplify(1 - sin(x)^2) gives cos²(x)
  • TrigSimplify(sin(x)^2 - cos(x)^2 + 1) gives 2 sin²(x).
Note:
© 2021 International GeoGebra Institute