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Chapter 4: Problem 11
Find the period and amplitude. $$y=-4 \sin x$$
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Find the distance between Dallas, Texas, whose latitude is \(32^{\circ} 47^{\prime} 39^{\prime \prime} \mathrm{N}\) and Omaha, Nebraska, whose latitude is \(41^{\circ} 15^{\prime} 50^{\prime \prime} \mathrm{N}\) Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude (Omaha is due north of Dallas).
Area of a Sector of a Circle Find the area of the sector of a circle of radius \(r\) and central angle \(\boldsymbol{\theta}\). $$r=2.5 \text { feet, } \theta=225^{\circ}$$
Fill in the blank. If not possible, state the reason. $$\text { As } x \rightarrow-\infty, \text { the value of } \arctan x \rightarrow\text { _____ } .$$
Sketch a graph of the function. $$y=2 \arccos x$$
Area of a Sector of a Circle Find the area of the sector of a circle of radius \(r\) and central angle \(\boldsymbol{\theta}\). $$r=12 \text { millimeters, } \theta=\frac{\pi}{4}$$
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