91Ó°ÊÓ

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.) $$ \sec 0.29 $$

Use a graphing utility to graph the function. Describe the behavior of the function as \(x\) approaches zero. $$ f(x)=\sin \frac{1}{x} $$

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.) $$ \cot \left(-\frac{11 \pi}{8}\right) $$

Sketch a graph of the function. $$ h(v)=\tan (\arccos v) $$

Find the length of the arc on a circle of radius \(r\) intercepted by a central angle \(\theta\). $$ \begin{aligned} &15 \text { inches }\\\ &120^{\circ} \end{aligned} $$

The function given by $$P=100-20 \cos \frac{5 \pi t}{3}$$ approximates the blood pressure \(P\) (in millimeters of mercury) at time \(t\) (in seconds) for a person at rest. (a) Find the period of the function. (b) Find the number of heartbeats per minute.

Use a graphing utility to graph the function. Describe the behavior of the function as \(x\) approaches zero. $$ h(x)=x \sin \frac{1}{x} $$

Find the length of the arc on a circle of radius \(r\) intercepted by a central angle \(\theta\). $$ 9 \text { feet } \quad 60^{\circ} $$

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.) $$ \csc \left(-\frac{15 \pi}{14}\right) $$

Sketch a graph of the function. $$ f(x)=\arccos \frac{x}{4} $$