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Chapter 4: Problem 65
Use a calculator to find the value of the trigonometric function to four decimal places. $$\csc 1$$
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the graph of \(y=3 \cos 2 x\) to obtain the graph of \(y=3 \csc 2 x\)
will help you prepare for the material covered in the next section. a. Graph \(y=-3 \cos \frac{x}{2}\) for \(-\pi \leq x \leq 5 \pi\) b. Consider the reciprocal function of \(y=-3 \cos \frac{x}{2}\) namely, \(y=-3 \sec \frac{x}{2} .\) What does your graph from part (a) indicate about this reciprocal function for \(x=-\pi, \pi, 3 \pi,\) and \(5 \pi ?\)
Graph: \(x^{2}+y^{2}=1 .\) Then locate the point \(\left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\) on the graph.
Use a graphing utility to graph two periods of the function. $$y=3 \sin (2 x+\pi)$$
Use a vertical shift to graph one period of the function. $$y=\cos x-3$$
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