The figure shows the idea of constructing the function; y = a sin x + b
cos x The angle OAP is always 90 degrees. When the figure OAP rotates arround the origin, the y-coordinate of point P represents the function. |
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The applet shows the graph of y = a sin x + b cos x The initial value of a and b are 1 and 0.5 respectively. To draw the graph, press "Draw" button. |
Using the applet, you can observe the graph of y=a sin x + b cos x is a simple sine
curve with the same period in any cases. However, the amplitude and phase shift are
different.