Chapter 4: Problem 58
Rewrite each angle in radian measure as a multiple of \(\pi\). (Do not use a calculator.) (a) \(315^{\circ}\) (b) \(120^{\circ}\)
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Chapter 4: Problem 58
Rewrite each angle in radian measure as a multiple of \(\pi\). (Do not use a calculator.) (a) \(315^{\circ}\) (b) \(120^{\circ}\)
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Graph the functions \(f\) and \(g\). Use the graphs to make a conjecture about the relationship between the functions. $$ f(x)=\sin ^{2} x, \quad g(x)=\frac{1}{2}(1-\cos 2 x) $$
Use a graphing utility to graph the two equations in the same viewing window. Use the graphs to determine whether the expressions are equivalent. Verify the results algebraically. $$ y_{1}=\sin x \csc x, \quad y_{2}=1 $$
Sketch the graph of the function. Include two full periods. $$ y=\csc \frac{x}{2} $$
Evaluate the expression without using a calculator. $$ \arcsin 0 $$
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 \()\) $$ f(x)=\tan x $$
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