Math
141-142: Unit 2
Deadline: Thursday July 18 (141) or Thursday
July 11 (142)
Topics
Calculators will be used extensively in this unit as we review and learn about the
following topics:
- Conversions between radians, (decimal) degrees, and degrees-minutes-seconds (5.3)
- Circular motion (supplementary material,
related to 5.3)
- Definition of trigonometric functions with angle domains (for radian measure,
these are the same as the circular functions; angles in degree measure must be converted
by hand or by calculator to radians) (5.4)
- Evaluation of trigonometric functions with a calculator (make sure your calculator
is set to the correct mode!) (5.2 & 5.4)
- Evaluation of trigonometric functions using a circle (for
example, 5.4 #1-4) or a triangle (5.4)
- Solving "inverse" problems, both exactly and
with a calculator: given the value of a trig function, what is the corresponding
angle? (for example, 5.5 #13-18 and 5.4 #55-60 & 67-70)
- Solving right triangles, including applications (5.5)
Study guidelines
- Sections 5.2 and 5.3: Circular Functions; Angles and their Measure (calculator
problems)
- Reading: Read and work through example 4 on page 354 and its associated
matched problem. Read the supplementary material
on circular motion, and work through the examples.
- Problems: Do the following calculator problems from these two sections.
- Evaluation of circular functions: 5.2 #27, 29, 31, 65, 67
- Conversions between radians, (decimal) degrees, and degrees-minutes-seconds:
5.3 #27, 29, 31, 33, 35, 37, 39, 41
- Circular Motion: problems #1-4 (solutions
are included)
- More
practice problems, with solutions
- Section 5.4: Trigonometric Functions
- Reading: pages 366-380.
Read and work through examples 1-8 and their associated matched problems.
Read and respond to "Explore and Discuss" 2 and 3.
- Problems: pages 381-383 #1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 25,
27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67,
69, 71, 75, 77, 81
- Section 5.5: Solving Right Triangles
- Reading: pages 383-388.
Read and work through examples 1-4 and their associated matched problems.
Read and respond to "Explore and Discuss" 2.
- Problems: pages 388-390 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21,
23, 25, 27, 29, 39, 41, 47
- Supplementary material (optional)
for sections 5.2-5:
Unit Exam #2
After completing the above work, do the following:
- Read the exam description:
- This exam has 25 questions, and will count 20 points toward your
grade.
- This exam has a one hour time limit.
- This exam will probably take you more time than Unit Exam #1 did.
Approximately one-half of the questions are on section 5.5, and the other half are
on 5.2-5.4.
- Be sure to look under the entry box for the type of answer expected.
- Some problems expect a list, separated by commas, such as 1/2,sqrt(3)/2,sqrt(3). The values must be listed in the order requested in the problem.
- If an angle measure doesn't say "degrees" or use the
degree symbol, then it is in radians.
- None of the problems in this course require answers in terms of
units (for example, "5 cm" or "3
ft"). In
particular, questions asking for radians or degrees do not expect units (in
fact, as noted on page 361, radian measure is a unitless number). Thus, you should
not write answers like "pi/4 radians" or "45 degrees". Just write
"pi/4" or "45" instead.
- Some of the questions on this exam ask for an approximation instead
of an exact answer. These questions will ask you to give an answer "with an accuracy of at least two decimals after the decimal
point" (or possibly one decimal, or three decimals,
etc.). In this case, you would have to
enter at least two digits after the decimal point. For example, if you calculate
your answer to be 1.41421356237, then you could enter 1.41, 1.414, 1.4142, etc. When
you view your corrected exam, you will see that the "correct" answer is
1.41421356237 ? 0.01. The question mark means "plus or minus", so anything within
0.01 of the first number counts as correct.
- If a question does not ask for an approximation, then your answer
must be exact.
- Make sure your calculator is set to the correct
mode (radians or degrees) for each question. If an angle measure
in the question doesn't say "degrees" or use the degree symbol, then you
should use radians.
- Complete the online Unit
2 Pretest assignment for Math 141 or Math 142. You may use your book if you wish,
and redo the pretest as many times as you like. Your pretest score will be scaled
to 5 points maximum.
- Directions: Click on the link above for your class, then choose
the Unit 2 Pretest.
- The pretest must be completed by the deadline date listed at the top of this
page.
However, you may redo the pretest as many times as you like before the due date.
Your best score counts, and it will be rescaled to 5 points maximum.
- If you are having trouble with any of the problems listed above
or on the pretest or practice exams, make use of the help resources listed on the
Help page.
- Arrange with your proctor to take the online proctored Unit 2 Exam assignment
for Math
141 or Math 142. Remember to bring identification,
and remember that you will not be able to take the unit exam after the deadline date
given at the top of this page. You may NOT use your book or
notes on this exam.
- Directions: Click on the link above for your class, then choose
Unit 2 Exam.
- The proctored unit exam must be completed by the deadline date listed at the
top of this page, and may be repeated under certain conditions. See the Detailed
Schedule page for Math 141 or Math
142 for specific rules.
Note: Remember that you can always go back and take
practice exams on this unit for Math 141 or Math 142 after the deadline has passed. In
particular, this will help you prepare for the midterm and final exams.
- Directions: Click on the link above for your class, then choose
Unit 2 Exam. After the deadline has passed, this
exam will be available in practice mode.
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