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Chapter 4: Problem 65
In Exercises \(61-86,\) use reference angles to find the exact value of each expression. Do not use a calculator. $$\tan 420^{\circ}$$
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A clock with an hour hand that is 15 inches long is hanging on a wall. At noon, the distance between the tip of the hour hand and the ceiling is 23 inches. At 3 P.M., the distance is 38 inches; at 6 P.M., 53 inches; at 9 P.M., 38 inches; and at midnight the distance is again 23 inches. If \(y\) represents the distance between the tip of the hour hand and the ceiling \(x\) hours after noon, make a graph that displays the information for \(0 \leq x \leq 24\)
Use a vertical shift to graph one period of the function. $$y=\sin x+2$$
The toll to a bridge costs \(\$ 8.00 .\) Commuters who frequently use the bridge have the option of purchasing a monthly discount pass for \(\$ 36.00 .\) With the discount pass, the toll is reduced to \(\$ 5.00 .\) For how many bridge crossings per month will the cost without the discount pass be the same as the cost with pass? What will be the monthly cost for each option? (Section P.8, Example 3)
Use a vertical shift to graph one period of the function. $$y=\cos x-3$$
Graph one period of each function. $$y=-\left|2 \sin \frac{\pi x}{2}\right|$$
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