Chapter 4: Problem 47
Use a calculator to evaluate each function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.) (a) \(\sin 10^{\circ}\) (b) \(\cos 80^{\circ}\)
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Chapter 4: Problem 47
Use a calculator to evaluate each function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.) (a) \(\sin 10^{\circ}\) (b) \(\cos 80^{\circ}\)
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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. $$ y_{1}=\sec ^{2} x-1, \quad y_{2}=\tan ^{2} x $$
Consider the functions given by \(f(x)=2 \sin x \quad\) and \(\quad g(x)=\frac{1}{2} \csc x\) on the interval \((0, \pi)\). (a) Graph \(f\) and \(g\) in the same coordinate plane. (b) Approximate the interval in which \(f>g\). (c) Describe the behavior of each of the functions as \(x\) approaches \(\pi .\) How is the behavior of \(g\) related to the behavior of \(f\) as \(x\) approaches \(\pi\) ?
Use a graph to solve the equation on the interval \([-2 \pi, 2 \pi]\). $$ \cot x=1 $$
Use the graph of the function to determine whether the function is even, odd, or neither. Verify your answer algebraically. $$ g(x)=x^{2} \cot x $$
Use a graphing utility to graph the function. Include two full periods. $$ y=\sec \pi x $$
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