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Magazine Problem 2
The only possible difference between a trigonometric function of an angle and its reference angle will be the _____ of the value.
Problem 3
The input to a trigonometric function is formally called the ___ of the function.
Problem 4
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 ________.
Problem 5
The trigonometric functions having a domain of all real numbers are ____ and ____ , and the functions having a range of all real numbers are ____ and ___.
Problem 6
The largest possible value for the sine or cosine function is ____ and the smallest possible value is ____. 2
Problem 6
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 \(\theta\). $$ \theta=3, r=5 \text { inches } $$
Problem 7
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 \(\theta\). $$ \theta=1.5, r=1.5 \mathrm{ft} $$
Problem 7
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 \(s\). $$ r=12 \text { inches, } s=3 \pi \text { inches } $$
Problem 8
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 \(t\). \(s=6 \mathrm{~cm}\) and \(t=2 \mathrm{sec}\)
Problem 8
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 \(\theta\). $$ \theta=4.2, r=1.8 \mathrm{ft} $$
