TrigCombine Command

TrigCombine( <Expression> )

Combines products of trigonometric terms into sums, or combines sums of trigonometric terms into an expression containing only a trigonometric function.

  • 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> )

Combines the terms of a trigonometric expression into an equivalent expression, containing only the given target function.

TrigCombine(sin(x) + cos(x), sin(x)) gives \(\sqrt{2} \sin \left( x + \frac{1}{4} \pi \right)\).

  • In the Menu view cas.svg CAS View undefined variables can be used as well.

TrigCombine(sin(p) cos(3p)) gives \(\frac{1}{2} \sin \left( 4 p \right) - \frac{1}{2} \sin \left( 2 p \right)\).