Jensen/Math 1316
Spring 2020
Trigonometry Unit 2 Test (Chaps 3 & 4)
Name_______________________________________
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Answers should always be given using exact values and rational denominators when possible. If this
is not possible, you should follow the instructions for rounding or use significant figures when no
instructions are given.
You can use a scientific calculator. You CAN NOT use a graphing calculator.
Place your answer on the line provided. If a line is not provided place a box around your answer.
All work must be shown. Partial credit can only be given if your work is shown. For problems where
you are not supposed to use your calculator no work NO CREDIT.
The following unit circle is for reference. You may use it as you see fit.
No credit for filling out the unit circle
Jensen/Math 1316
Spring 2020
Formulas
Degrees/Radian Relationship:
1800 = 𝜋 𝑟𝑎𝑑𝑖𝑎𝑛𝑠
Applications of Radian Measure
Arc Length: s = r  in radians
Area of a Sector: A =
Angular Speed 𝜔
=

t
(  in radians per
unit time,  in
radians
Linear Speed 𝑣
s
t
r
v=
t
v = r
v=
1 2
r
2
Calculator Portion of the Test
Show ALL your work to earn full credit. Write down what you type into the calculator!
1. The rotation of the smaller wheel in the figure causes the larger wheel to rotate. Through how many degrees
does the larger wheel rotate if the smaller one rotates through 650?
1. __________________
2. Find the area of the sector of a circle having radius r = 13.4 cm and central angle  =

17
. Round to the
nearest tenth.
2. __________________
Jensen/Math 1316
Spring 2020
3. A circular sector has an area of 162 in2. The radius of the circle is 9 in. What is the arc length of the sector?
3. __________________
4. Find the radius of the circle in the figure.
4. __________________
84
920
Evaluate the following. Give your answer using appropriate significant digits.
5. sin 4.218
5. __________________
6. csc6.3914
6. __________________
7. cos( s ) = 1.2345
7. __________________
Jensen/Math 1316
Spring 2020
Graph the following functions over at least one period. Label both axes.


8. y = 1 + cos  x −


2
9. y = −3 + 2sin 2 x
Jensen/Math 1316
3 
3
x+

4 
4
10. y = csc 
Spring 2020