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GeoGebraGeoGebra Classroom

Rotating a function

Task

Rotate a function around a line by creating a slider to change the angle of rotation.

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Instructions

1.Enter f(x) = sin(x) into the Input Bar and press Enter to create a function. 
2.Toolbar ImageClick into the Graphics View and select the Slider tool to create a slider for angle 
Hint: In the Slider dialog check Angle and set the Increment to 1°. Make sure you don’t delete the ̊ symbol.
3.Toolbar ImageSelect the Move tool and click into the 3D Graphics View to show the 3D Graphics View Toolbar.
4.Toolbar ImageSelect the Rotate around Line tool and select the function f(x) and the x-axis. In the appearing dialog enter the angle  and click Apply.
Hint: To enter the angle click on the  sign of the  Virtual Keyboard.
5.Toolbar ImageSelect the parametric curve f_1(x) and open the Settings from the  Style Bar.
6.Check Show Trace on tab Basic and then close the Settings.
7.Toolbar ImageSelect the Move tool and change the value of the slider.
 Hint: To animate the slider right click on it and choose Animation On from the appearing context menu. An Animation button appears in the lower left corner of the  Graphics View. It allows you to either pause or continue an animation.