TrigCombine Command
From GeoGebra Manual
- TrigCombine( <Expression> )
- Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
- Examples:
TrigCombine(sin(x) cos(3x))
gives {\frac{1}{2} sin \left( 4 x \right) - \frac{1}{2} sin \left( 2 x \right)}TrigCombine(sin(x) + cos(x))
gives {\sqrt{2} cos \left( x - \frac{1}{4} \pi \right)} .
- 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(sin(x) + cos(x), sin(x))
gives {\sqrt{2} sin \left( x + \frac{1}{4} \pi \right)} .
Notes:
- In the CAS View undefined variables can be used as well.
- Example:
TrigCombine(sin(p) cos(3p))
gives {\frac{1}{2} sin \left( 4 p \right) - \frac{1}{2} sin \left( 2 p \right)}.
- See also TrigExpand Command and TrigSimplify Command.