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Chapter 4: Problem 2
The measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. $$177^{\circ}$$
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. After using the four-step procedure to graph \(y=-\cot \left(x+\frac{\pi}{4}\right),\) I checked my graph by verifying it was the graph of \(y=\cot x\) shifted left \(\frac{\pi}{4}\) unit and reflected about the \(x\) -axis.
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 the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and seconds \(\left(D^{\circ} M^{\prime} S^{\prime \prime}\right)\) into decimal form, and vice versa. Convert each angle to a decimal in degrees. Round your answer to two decimal places. $$30^{\circ} 15^{\prime} 10^{\prime \prime}$$
Let \(f(x)=\left\\{\begin{array}{ll}x^{2}+2 x-1 & \text { if } x \geq 2 \\ 3 x+1 & \text { if } x<2\end{array}\right.\) Find \(f(5)-f(-5) . \text { (Section } 1.3, \text { Example } 6)\)
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. $$y=0.8 \sin \frac{x}{2} \text { and } y=0.8 \csc \frac{x}{2}$$
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