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Chapter 4: Problem 63
Use a calculator to find the value of the trigonometric function to four decimal places. $$\tan 3.4$$
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Graph \(f, g,\) and \(h\) in the same rectangular coordinate system for \(0 \leq x \leq 2 \pi .\) Obtain the graph of h by adding or subtracting the corresponding \(y\) -coordinates on the graphs of \(f\) and \(g\) $$f(x)=2 \cos x, g(x)=\cos 2 x, h(x)=(f+g)(x)$$
What does a phase shift indicate about the graph of a sine function? How do you determine the phase shift from the function's equation?
Use a graphing utility to graph each pair of functions in the same viewing rectangle. Use a viewing rectangle that shows the graphs for at least two periods. $$y=4 \cos \left(2 x-\frac{\pi}{6}\right) \text { and } y=4 \sec \left(2 x-\frac{\pi}{6}\right)$$
Solve: \(\quad \log _{2}(2 x+1)-\log _{2}(x-2)=1\) (Section 3.4, Example 7)
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Determine the range of each of the following functions. Then give a viewing rectangle, or window, that shows two periods of the function's graph. a. \(f(x)=3 \sin \left(x+\frac{\pi}{6}\right)-2\) b. \(g(x)=\sin 3\left(x+\frac{\pi}{6}\right)-2\)
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