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.
- Example:
TrigCombine[sin(x) cos(3x)]gives {\frac{1}{2} \; \operatorname{sin} \left( 4 \; x \right) - \frac{1}{2} \; \operatorname{sin} \left( 2 \; x \right)}.
- Example:
TrigCombine[sin(x) + cos(x)]gives {\sqrt{2} \; \operatorname{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} \; \operatorname{sin} \left( x + \frac{1}{4} \; \pi \right)} .
CAS Syntax
- TrigCombine[ <Expression> ]
- Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables.
- Example:
TrigCombine[sin(p) cos(3p)]gives {\frac{1}{2} \; \operatorname{sin} \left( 4 \; p \right) - \frac{1}{2} \; \operatorname{sin} \left( 2 \; p \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(p) + cos(p), sin(x)]gives {\sqrt{2} \; \operatorname{sin} \left( p + \frac{1}{4} \; \pi \right)} .
Note: See also TrigExpand Command and TrigSimplify Command.
