91Ó°ÊÓ

For Questions 1 through 4, fill in each blank with the appropriate word. When calculating arc length or sector area, the angle must be measured in ________.

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 \(s\). $$ r=3 \mathrm{~cm}, s=9 \mathrm{~cm} $$

Draw each of the following angles in standard position and then name the reference angle. $$150^{\circ}$$

Unless otherwise stated, all answers in this Problem Set that need to be rounded should be rounded to three significant digits. For each of the following problems, \(\theta\) is a central angle in a circle of radius \(r\). In each case, find the length of \(\operatorname{arc} s\) cut off by \(\theta\). $$ \theta=2, r=3 \text { inches } $$

The trigonometric functions having a domain of all real numbers are ____ and ____ , and the functions having a range of all real numbers are ____ and ___.

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in the given amount of time \(t\). \(s=3 \mathrm{ft}\) and \(t=2 \mathrm{~min}\)

Unless otherwise stated, all answers in this Problem Set that need to be rounded should be rounded to three significant digits. For each of the following problems, \(\theta\) is a central angle in a circle of radius \(r\). In each case, find the length of \(\operatorname{arc} s\) cut off by \(\theta\). $$ \theta=3, r=5 \text { inches } $$

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in the given amount of time \(t\). \(s=10 \mathrm{ft}\) and \(t=5 \mathrm{~min}\)

The largest possible value for the sine or cosine function is ____ and the smallest possible value is ____. 2

Draw each of the following angles in standard position and then name the reference angle. $$210^{\circ}$$