91Ó°ÊÓ

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window. Describe the behavior of the function as \(x\) increases without bound. $$f(x)=\frac{1-\cos x}{x}$$

Determine whether the statement is true or false. Justify your answer. $$\sec 30^{\circ}=\csc 60^{\circ}$$

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\cot 178^{\circ}$$

Complete the equation. $$\arccos \frac{x-2}{2}=\arctan (\text{_____}), \quad 2

Use a graphing utility to graph \(y_{1}\) and \(y_{2}\) in the interval \(-2 \pi, 2 \pi .\) Use the graphs to find real numbers \(x\) such that \(y_{1}=y_{2}\). $$\begin{aligned} &y_{1}=\sin x\\\ &y_{2}=-\frac{1}{2} \end{aligned}$$

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window. Describe the behavior of the function as \(x\) increases without bound. $$f(x)=\sin \frac{1}{x}$$

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\sec 72^{\circ}$$

Determine whether the statement is true or false. Justify your answer. $$\sin 45^{\circ}+\cos 45^{\circ}=1$$

Sketch a graph of the function and compare the graph of \(g\) with the graph of \(f(x)=\arcsin x\). $$g(x)=\arcsin (x-1)$$

Sketch a graph of the function and compare the graph of \(g\) with the graph of \(f(x)=\arcsin x\). $$g(x)=\arcsin \frac{x}{2}$$