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Chapter 4: Problem 108
Explain how to convert an angle in radians to degrees.
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Use a graphing utility to graph $$ y=\sin x-\frac{\sin 3 x}{9}+\frac{\sin 5 x}{25} $$ in a \(\left[-2 \pi, 2 \pi, \frac{\pi}{2}\right]\) by [-2,2,1] viewing rectangle. How do these waves compare to the smooth rolling waves of the basic sine curve?
Will help you prepare for the material covered in the next section.
a. Graph \(y=\tan x\) for \(-\frac{\pi}{2}
Determine whether each statement makes sense or does not make sense, and explain your reasoning. When graphing one complete cycle of \(y=A \cos (B x-C)\) I find it easiest to begin my graph on the \(x\) -axis.
Determine the amplitude, period, and phase shift of each function. Then graph one period of the function. $$y=-3 \cos \left(2 x-\frac{\pi}{2}\right)$$
Graph \(y=\sin \frac{1}{x}\) in a [-0.2,0.2,0.01] by [-1.2,1.2,0.01] viewing rectangle. What is happening as \(x\) approaches 0 from the left or the right? Explain this behavior.
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