TrigExpand Command
From GeoGebra Manual
 |
This page is about a feature that is supported only in GeoGebra 4.2. |
- 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}).
Note: See also TrigSimplify Command and TrigCombine Command.
