Type in a sine function with Greek parameters that can be changed by using sliders.[br][br]Explore the construction and learn how to visualize sine functions with [i]Graphing [/i]in [i][url=https://www.geogebra.org/calculator][i]GeoGebra Calculator Suite[/i][/url][/i]. Then try it yourself by following the instructions below.

[table][tr][td]1.[/td][td]Type [math]f(x)=sin(x)[/math] into the [i]Input Bar[/i]. The graph of [i]f(x)[/i] will automatically be displayed in the [i]Graphics View[/i].[br][b][/b][b]Note:[/b] Make sure that the chosen [i]Labeling[/i] option is [i]All New Objects [/i]so you can see the labels of the objects in the [i]Graphics View[/i]. You can set this in the [i]Settings [/i]by selecting [i]Global Settings[/i] on the right.[br][/td][/tr][tr][td]2.[/td][td]Type the letter [i]a[/i] into the [i]Input Bar[/i] and press [i]Enter[/i]. A slider for [i]a[/i] will be created automatically.[br][/td][/tr][tr][td]3.[/td][td]Switch the [i]Virtual Keyboard [/i]to the [math]\alpha\beta\gamma[/math] layout, select the Greek letter [math]\omega[/math] and press [i]Enter[/i]. A slider for [math]\omega[/math] will be created automatically.[br][/td][/tr][tr][td]4.[/td][td]Repeat step 3 with the Greek letter [math]\phi[/math] to create a third slider. Set the value of parameter [math]\phi[/math] to 0 by moving the slider.[/td][/tr][tr][td]5.[/td][td]Enter the function [math]g\left(t\right)=a\cdot sin\left(\omega\cdot t+\phi\right)[/math] using the [i]Virtual Keyboard.[/i][/td][/tr][tr][td]6.[/td][td]Move the sliders [i]a[/i], [math]\omega[/math] and [math]\phi[/math] and explore how the graph of [i]g(t)[/i] is transformed in relation to [i]f(x) [/i]when modifying the parameters. [/td][/tr][tr][td]7.[/td][td]Select the equation of [i]f(x)[/i] and [i]g(t)[/i] in the [i]Algebra View[/i] and change the functions to cosine. Explore how the graph adapts, if you change the value of the sliders.[br][/td][/tr][/table]