91Ó°ÊÓ

For each problem below, \(\theta\) is a central angle in a circle of radius \(r\). In each case, find the length of arc \(s\) cut off by \(\theta\). \(\theta=1.5, r=1.5 \mathrm{ft}\)

Find the radian measure of angle \(\theta\), if \(\theta\) is a central angle in a circle of radius \(r\), and \(\theta\) cuts off an arc of length \(s\). \(r=4\) inches, \(s=12 \pi\) inches

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in an amount of time \(t\), where $$ s=12 \mathrm{~cm} \text { and } t=4 \mathrm{sec} $$

Use the unit circle to evaluate each function. \(\cot 90^{\circ}\)

Use the unit circle to evaluate each function. \(\tan 300^{\circ}\)

Draw each of the following angles in standard position and then name the reference angle. $$ 253.8^{\circ} $$

Find the radian measure of angle \(\theta\), if \(\theta\) is a central angle in a circle of radius \(r\), and \(\theta\) cuts off an arc of length \(s\). \(r=12\) inches, \(s=3 \pi\) inches

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in an amount of time \(t\), where $$ \mathrm{s}=12 \mathrm{~cm} \text { and } t=2 \mathrm{sec} $$

For each problem below, \(\theta\) is a central angle in a circle of radius \(r\). In each case, find the length of arc \(s\) cut off by \(\theta\). \(\theta=2.4, r=1.8 \mathrm{ft}\)

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in an amount of time \(t\), where $$ s=30 \mathrm{mi} \text { and } t=2 \mathrm{hr} $$