Transforming into a Harmonic Oscillator in GeoGebra

GeoGebra Instruction 1

1.

Open CAS under

View in

Menu.

2.

In an empty row in CAS, type

TrigCombine(<Expression>, <Target Function>)

where

<Expression> is the expression for the trigonometric function that you want to transform, and
<Target Function> is sin(x).

Click Solve if you want an exact representation, or Solve Numerically if you want a numeric one.

Example 1

Transform

\sin (2 x) - 4 \cos (2 x)

into a harmonic oscillation.

Type

TrigCombine(sin(2x)-4*cos(2x),sin(x))

and click Solve Numerically , giving the answer

4.12 \sin (2 x - 1.33)

Screenshot of GeoGebra showing a transformation into harmonic oscillation

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