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DISCUSS: Sinusoidal Curves The graph of y = sin x is the same as the graph of y =cos x shifted to the right units. So the sine curve
y =sin x is also at the same time a cosine curve:
In fact, any sine curve is also a cosine curve with a different horizontal shift, and any cosine curve is also a sine curve. Sine and cosine curves are collectively referred to as sinusoidal. For the curve whose graph is shown, find all possible ways of expresssing it as a sine curve y = a sin(x-b) or as a cosine curve y= a cos (x-b). Explain why you think you have found all possible choices for a and b in each case.