Sum and Differences of Sine and Cosine

Get acquainted with the trigonometric functions of sinus and cosinus![br]Drag the sliders to change amplitude, period and phase and try to develop a feeling for how these parameters determines the function graph.[br]Start with sinus, then add cosinus and then play around with the sum of them.[br]Use SHIFT or CTRL and the mouse wheel to zoom in and out and to change the scale of the cordinate system.
1. Set the parameters so the graph shows a sine-function with period [math]\frac{\pi}{4}\ [/math]and amplitude 0,5[br]2. Try to make the sine-function (red) and the cosine-function (blue) to look exactly the same. What is the difference between sine and cosine?

Information: Sum and Differences of Sine and Cosine