Difference between revisions of "TrigCombine Command"
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;TrigCombine( <Expression> ) | ;TrigCombine( <Expression> ) | ||
:Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables. | :Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables. | ||
− | :{{ | + | :{{examples|1=<div> |
− | : | + | :*<code>TrigCombine(sin(x) cos(3x))</code> gives <math>{\frac{1}{2} sin \left( 4 x \right) - \frac{1}{2} sin \left( 2 x \right)}</math> |
+ | :*<code>TrigCombine(sin(x) + cos(x))</code> gives <math> {\sqrt{2} cos \left( x - \frac{1}{4} \pi \right)} </math>.</div>}} | ||
;TrigCombine( <Expression>, <Target Function> ) | ;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. | :Transforms a trigonometric expression including products of trigonometric functions into an expression without products involving sums of variables, preferring the given target function. | ||
− | :{{example|1=<code>TrigCombine | + | :{{example|1=<code>TrigCombine(sin(x) + cos(x), sin(x))</code> gives <math> {\sqrt{2} sin \left( x + \frac{1}{4} \pi \right)} </math>.}} |
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− | }} | ||
− | {{ | + | {{notes|1= <div> |
+ | :*In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables can be used as well. | ||
+ | :*{{example|1=<code>TrigCombine(sin(p) cos(3p))</code> gives <math>{\frac{1}{2} sin \left( 4 p \right) - \frac{1}{2} sin \left( 2 p \right)}</math>.}} | ||
+ | :*See also [[TrigExpand Command]] and [[TrigSimplify Command]].</div>}} |
Latest revision as of 09:59, 9 October 2017
- 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.