Sine / Cosecant
(Horizontal Transformations)

How to Use This Applet

The sliders change the parameters b and c in the trigonometric functions y = sin[ b( x − c¹ ) ] or y = csc[ b( x − c¹ ) ].

Drag a slider to change the value of a parameter.
The <LEFT> and <RIGHT> arrow keys can be used to change the selected parameter [light blue].
The <UP> and <DOWN> arrow keys can be used to increase or decrease the selected parameter. (Use this feature for fine adjustments.)
If the arrow keys don't respond, click the cursor in the applet frame then try again.
Drag a parameter scale to "move" it. (ie. Change the range but maintain the scale "length".)
Drag towards or away from a parameter thumb to "re-scale" the scale.
Select the corresponding parameter button to enter a value for a parameter.

Drag the red location (or the light red vertical line) to move the graph horizontally.
Drag a location along the graph (not on the light red vertical line) to cause a dilatation or reflection about the light red vertical line.
Click and drag any location in the graph area (not on the graph) to see the coordinates of the cursor as well as the coordinates of locations along the graph.
The <SHIFT> key: Click and drag in the graph area to move the entire coordinate system.
The <CONTROL>+<SHIFT> key: Click and drag in the graph area towards or away from the:
- x-axis to change the y-axis scale.
- y-axis to change the x-axis scale.