Determine a complex number and change the coordinates of the complex number to polar coordinates. [br][br]Explore the construction and learn how to visualize complex numbers on a polar coordinate grid 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][img width=32,height=32]https://wiki.geogebra.org/uploads/thumb/1/18/Algebra_new.svg/32px-Algebra_new.svg.png[/img][/td][td]In the [i]Algebra View [/i]open the [i]Input Help[/i] and choose [i]Text[/i]. [/td][/tr][tr][td]2.[/td][td][/td][td]Copy the following text into the [i]Input Bar [/i]and press [i]Enter[/i]:[/td][/tr][tr][td][/td][td][/td][td]CCSS.MATH.CONTENT.HSN.CNB.4[br]Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar form of a given complex number represent the same number.[/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_complexnumber.png[/icon][/td][td]Open the [i]Tools View [/i]and search for the [i]Complex Number[/i] tool. Select this tool and click anywhere inside the [i]Graphics View[/i] to create a complex number. [br][b]Note:[/b] The complex number will automatically be labeled [i]z[sub]1[/sub][/i] and its coordinates will be displayed in the [i]Algebra View[/i].[br][/td][/tr][tr][td]4.[/td][td][img width=32,height=32]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/32px-Menu-options.svg.png[/img][/td][td]Open the global settings and change the font size.[/td][/tr][tr][td]5.[/td][td][img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/2/25/Stylingbar_caption.svg/16px-Stylingbar_caption.svg.png[/img][img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/b/bd/Stylingbar_point.svg/16px-Stylingbar_point.svg.png[/img][/td][td]Select the complex number in the [i]Graphics View [/i]and change its settings. In the label menu mark [i]Show Value[/i]. Change the point size as well.[br][b]Note:[/b] In the Mobile App open the context menu by pressing the [i]More [/i]button. Then on [i]Set caption style[/i] select [i]Value[/i].[/td][/tr][tr][td]6.[/td][td][img width=32,height=32]https://wiki.geogebra.org/uploads/thumb/3/34/Algebra_hidden.svg/32px-Algebra_hidden.svg.png[/img][/td][td]Enter [math]z_2=z_1[/math] into the [i]Input [/i][i]Bar, [/i]press [i]Enter [/i]and hide the new complex number by selecting the enabled [i]Visibility [/i]button on the left.[/td][/tr][tr][td]7.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/4/41/Icon-menu.svg/16px-Icon-menu.svg.png[/img][/td][td]In the [i]Algebra View [/i]open the context menu by pressing the [i]More [/i]button of [i]z[sub]2[/sub][/i] and select [i]Settings[/i]. Open the tab [i]Algebra[/i]. Change the coordinates into [i]Polar Coordinates[/i] and close the settings. The complex number [i]z[sub]2[/sub][/i] will now be displayed in polar coordinates in the [i]Algebra View[/i].[br][b]Note: [/b]In the Mobile App enter [math]z_2=ToPolar(z_1)[/math] in order to show its polar coordinates in the [i]Algebra View[/i].[/td][/tr][tr][td]8.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Move the point [i]z[sub]1[/sub][/i] in the [i]Graphics View [/i]and explore how the values change in the [i]Algebra View[/i].[/td][/tr][tr][td]9.[/td][td][img width=32,height=32]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/32px-Menu-options.svg.png[/img][/td][td]Open the S[i]ettings [/i]and select [i]Show Grid[/i]. Activate a [i]Polar [/i]grid.[br][b]Note:[i] [/i][/b]In the Mobile App select [i]Show Grid [/i] and change [i]Grid Type[/i] to [i]Polar.[/i][br][/td][/tr][/table]