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Chapter 1: Problem 58
Convert the angle measure from degrees to radians. Round to three decimal places. $$-48.27^{\circ}$$
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In Exercises 19-34, use a calculator to evaluate the expression. Round your result to two decimal places. $$ \arcsin (-0.75) $$
In Exercises 19-34, use a calculator to evaluate the expression. Round your result to two decimal places. $$ \tan ^{-1}\left(-\frac{95}{7}\right) $$
In Exercises 19-34, use a calculator to evaluate the expression. Round your result to two decimal places. $$ \cos ^{-1} 0.26 $$ $$ \cos ^{-1} 0.26 $$
The formulas for the area of a circular sector and arc length are \(A=\frac{1}{2} r^{2} \theta\) and \(s=r \theta\), respectively. ( \(r\) is the radius and \(\theta\) is the angle measured in radians.) (a) For \(\theta=0.8\), write the area and arc length as functions of \(r\). What is the domain of each function? Use a graphing utility to graph the functions. Use the graphs to determine which function changes more rapidly as \(r\) increases. Explain. (b) For \(r=10\) centimeters, write the area and arc length as functions of \(\theta\). What is the domain of each function? Use a graphing utility to graph and identify the functions.
$$ \text { In Exercises 49-58, find the exact value of the expression. } $$ $$ \cot \left(\arctan \frac{5}{8}\right) $$
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