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Chapter 4: Problem 100
In Exercises \(99-104,\) find two values of \(\theta, 0 \leq \theta<2 \pi,\) that satisfy each equation. $$\cos \theta=\frac{1}{2}$$
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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 \(g\) $$f(x)=\cos x, g(x)=\sin 2 x, h(x)=(f-g)(x)$$
Solve: \(\log _{3}(x+5)=2\) (Section 3.4, Example 6)
Describe a general procedure for obtaining the graph of \(y=A \sin (B x-C)\)
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. $$y=4 \cos \left(2 x-\frac{\pi}{6}\right) \text { and } y=4 \sec \left(2 x-\frac{\pi}{6}\right)$$
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 \(g\) $$f(x)=\sin x, g(x)=\cos 2 x, h(x)=(f-g)(x)$$
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