Difference between revisions of "TrigSimplify Command"
From GeoGebra Manual
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{{command|cas=true|function}} | {{command|cas=true|function}} | ||
;TrigSimplify[ <Expression> ] | ;TrigSimplify[ <Expression> ] | ||
− | :Simplifies the given trigonometric | + | :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>}} | ||
− | |||
==CAS Syntax== | ==CAS Syntax== | ||
;TrigSimplify[ <Expression> ] | ;TrigSimplify[ <Expression> ] | ||
− | :Simplifies the given trigonometric | + | :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''.) | |
− | + | * See also [[TrigExpand Command]] and [[TrigCombine Command]].</div>}} |
Revision as of 15:28, 8 August 2013
- 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).
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:
- This command works for the variable x only! (
TrigSimplify[1 - sin(y)^2]
gives -sin²(y) + 1.) - See also TrigExpand Command and TrigCombine Command.