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Chapter 4: Problem 87
The minute hand of a clock moves from 12 to 2 o'clock, or \(\frac{1}{6}\) of a complete revolution. Through how many degrees does it move? Through how many radians does it move?
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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. $$65^{\circ} 45^{\prime} 20^{\prime \prime}$$
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 \(y=3 \csc 2 x\)
Repeat Exercise 109 for data of your choice. The data can involve the average monthly temperatures for the region where you live or any data whose scatter plot takes the form of a sinusoidal function.
Will help you prepare for the material covered in the next section. a. Graph \(y=\cos x\) for \(0 \leq x \leq \pi\) b. Based on your graph in part (a), does \(y=\cos x\) have an inverse function if the domain is restricted to \([0, \pi] ?\) Explain your answer. c. Determine the angle in the interval \([0, \pi]\) whose cosine is \(-\frac{\sqrt{3}}{2} .\) Identify this information as a point on your graph in part (a).
Explain how to find the length of a circular arc.
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