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Chapter 4: Problem 45
Use the value of the trigonometric function to evaluate the indicated functions. \(\cos (-t)=-\frac{1}{5}\) (a) \(\cos t\) (b) \(\sec (-t)\)
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Sketch the graph of the function. Include two full periods. $$ y=\tan (x+\pi) $$
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 \()\) $$ f(x)=\sec x $$
Use a graphing utility to graph the function. Describe the behavior of the function as \(x\) approaches zero. $$ g(x)=\frac{\sin x}{x} $$
Use the graph of the function to determine whether the function is even, odd, or neither. Verify your answer algebraically. $$ f(x)=\sec x $$
Sketch the graph of the function. Include two full periods. $$ y=-\sec \pi x+1 $$
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