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Chapter 4: Problem 62
Rewrite each angle in degree measure. (Do not use a calculator.) (a) \(-\frac{7 \pi}{12}\) (b) \(\frac{\pi}{9}\)
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Use a calculator to evaluate the expression. Round your result to two decimal places. $$ \arccos 0.37 $$
Use a graphing utility to graph the function. Include two full periods. $$ y=\frac{1}{3} \sec \left(\frac{\pi x}{2}+\frac{\pi}{2}\right) $$
Graph the functions \(f\) and \(g\). Use the graphs to make a conjecture about the relationship between the functions. $$ f(x)=\cos ^{2} \frac{\pi x}{2}, \quad g(x)=\frac{1}{2}(1+\cos \pi x) $$
Use a graphing utility to graph the function. Use the graph to determine the behavior of the function as \(x \rightarrow c\). (a) \(x \rightarrow \frac{\pi^{+}}{2}\left(\right.\) as \(x\) approaches \(\frac{\pi}{2}\) from the right (b) \(x \rightarrow \frac{\pi^{-}}{2}\left(\right.\) as \(x\) approaches \(\frac{\pi}{2}\) from the left (c) \(x \rightarrow-\frac{\pi^{+}}{2}\left(\right.\) as \(x\) approaches \(-\frac{\pi}{2}\) from the right \()\) (d) \(x \rightarrow-\frac{\pi^{-}}{2}\left(\right.\) as \(x\) approaches \(-\frac{\pi}{2}\) from the left \()\) $$ f(x)=\tan x $$
Use a graphing utility to graph the function. Use the graph to determine the behavior of the function as \(x \rightarrow c\). (a) As \(x \rightarrow 0^{+}\), the value of \(f(x) \rightarrow\) (b) As \(x \rightarrow 0^{-}\), the value of \(f(x) \rightarrow\) (c) As \(x \rightarrow \pi^{+}\), the value of \(f(x) \rightarrow\) (d) As \(x \rightarrow \pi^{-}\), the value of \(f(x) \rightarrow\) $$ f(x)=\cot x $$
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