Math 1060–003, Fall 2013
Instructor: Kyle Steffen
November 15, 2013
Study Guide for Midterm Exam #3
NEW: Please bring your University ID.
You must have your own scientific calculator (not a graphing calculator, symbolic calculator, cell
phone, iPod, etc.).
Sections 5.2, 5.3, 5.4, 5.5, 6.1, and 6.2.
1. Using your calculator (and showing your work), give correct solutions to triangle problems, rounded to the nearest hundredth (nearest 0.01).
2. Apply the Law of Sines and Law of Cosines to solve triangle problems and applications.
3. Find the area of a triangle.
No calculator on the following.
4. Verify trigonometric identities.
5. Solve trigonometric equations exactly for all values on the interval [0, 2π). (“Exact”
meaning that your answer should involve fractions and square roots – not decimals.)
6. Use sum/difference/double/power-reducing/half angle formulas to find the exact values
of trigonometric functions.
In addition to reviewing past assignments and quizzes, here are some additional exercises for
review:
Chapter 5 Review: pp. 393–394, #19–74
Chapter 6 Review: pp. 452–453, #1–42
Here are the formulas you will be given on the exam:
Æ
sin(u + v) = sin u cos v + cos u sin v
sin 2u = ±
cos(u + v) = cos u cos v − sin u sin v
cos 2u = ±
tan(u + v) =
tan u+tan v
1−tan u tan v
tan 2u =
c 2 = a2 + b2 − 2ab cos C
a
sin A
=
AT = 21 ab sin C
AT =
1−cos u
2
Æ
1+cos u
2
1−cos u
sin u
b
sin B
p
s(s − a)(s − b)(s − c)