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Chapter 4: Problem 18
Determine the quadrant in which each angle lies. (The angle measure is given in radians.) (a) \(\frac{11 \pi}{8}\) (b) \(\frac{9 \pi}{8}\)
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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 \(f(x) \rightarrow\) $$ f(x)=\cot x $$
The projected monthly sales \(S\) (in thousands of units) of lawn mowers (a seasonal product) are modeled by \(S=74+3 t-40 \cos (\pi t / 6),\) where \(t\) is the time (in months), with \(t=1\) corresponding to January. Graph the sales function over 1 year.
Use a graphing utility to graph the function. Describe the behavior of the function as \(x\) approaches zero. $$ g(x)=\frac{\sin x}{x} $$
Evaluate the expression without using a calculator. $$ \arctan \sqrt{3} $$
Evaluate the expression without using a calculator. $$ \arcsin \frac{\sqrt{2}}{2} $$
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