MAT125

Exam 3 Review

Lecture 33: Trig Functions Inside Triangles

  • Be able to find the values of the six trig functions in terms of the ratios of the sides of a right triangle.
  • Section 6.1 #3, 5, 7

Lecture 34: More on Trig Functions Inside Triangles

  • Know the six trig function values of 30, 60 and 45 degrees.
  • Be able to simplify trig expressions.
  • Section 6.2 #19, 29, 35, 45, 55

Lecture 35: Triangle Problems

  • Use trig functions to find the lengths of missing sides of a right triangle.
  • Know and use the formula for the area of a given triangle.
  • Solve area problems involving polygons inscribed in circles.
  • Solve other word problems similar to those in WeBWorK 13.
  • Section 6.3 #3, 11, 15, 21, 25

Lecture 36: Trig Functions in the Unit Circle

  • Use a reference angle to determine the trig function values of angles in the unit circle.
  • Section 6.4 #5, 45, 53

Lecture 37: Trig Identities, Etc

  • Use given information to draw a triangle and find the 6 trig function values at the specified angle.
  • Verify trig identities.
  • Section 6.5 #3, 21, 29, 41

Lecture 38: Radians (Which, By the Way, Are Better than Degrees)

  • Convert between radians and degrees.
  • Evaluate trig functions at angles measured in radians.
  • Section 7.1 #5, 11, 13, 39

Lecture 40: The Unit Circle

  • Know the SIGNS of all trig functions in any given quadrant.
  • Memorize the Unit Circle
  • Section 7.1 #17, 19

Lecture 41: Graphing the Sine and Cosine Functions

  • Know the graph of the sine function and its attributes.
  • Know the graph of the cosine function and its attributes.
  • Be able to determine the amplitude and period of a sine or cosine graph..
  • Section 7.4 #5, 7, 11, 19, 31, 35, 51, 53

Lecture 42: Altered Sine and Cosine Graphs, I

  • Be able to sketch an altered sine or cosine graph involving a change in amplitude and horizontal shift.
  • Given an altered graph of sine or cosine, provide the equation that produced the graph.
  • Section 7.5 #13, 15

Lecture 43: Altered Sine and Cosine Graphs, II

  • Be able to sketch an altered sine or cosine graph involving a change in amplitude, period, horizontal shift and vertical shift.
  • Given an altered graph of sine or cosine, provide the equation that produced the graph.
  • Section 7.5 #5, 17, 23, 33

Lecture 44: The Other Four Trigonometric Graphs

  • Graph the other four trig functions.
  • Given a graph, provide the equation that produced it.
  • Section 7.7 #5, 9, 13, 19,

Things to do to prepare for the exam:

  • Read the lectures carefully—again.
  • Read the objectives at the beginning of each of the lectures.
  • Look at each of your WeBWorK assignments again.
  • Look at your quizzes again—make note of any corrections that have been made.
  • Look over the in-class activity that we did with Lecture 24 (see my webpage if you have lost it).
  • Do NOT wait until the night before the test to start studying.
  • Do NOT plan to ask all of your questions in office hours the day of the test!

What to expect on the exam:

  • We will NOT be using any kind of calculator for this exam.
  • You will have ONE HOUR to finish the test. It is your job to use the time wisely.
  • Be prepared to show all of your work. Correct answers without appropriate support work will not receive full credit.
  • NOTE: There will be NO calculator section on this exam.

What to bring to the exam:

  • A pencil—NOT a pen!
  • An eraser—maybe a big one.
  • Extra lead?
  • Your organized Notebook for the Notebook Check.

Notebook Check #3

During Exam #3

20 points

Lecture notes should be together. They should be filled-in. If you were absent for a lecture, borrow someone’s notes and fill them in yourself—do not photocopy them.

_____Lecture 33

_____Lecture 34

_____Lecture 35

_____Lecture 36

_____Lecture 37

_____Lecture 38

_____Lecture 40

_____Lecture 41

_____Lecture 42

_____Lecture 43

_____Lecture 44

I am looking to see that you have attempted all of the WeBWorK problems on your own paper and not just all crammed in on the print-out. WeBWorK assignments should be together and labeled with the set number. Individual problems should be numbered.

_____WeBWorK Set 13

_____WeBWorK Set 14

_____WeBWorK Set 15

_____WeBWorK Set 16

All of your graded quizzes should be kept together in your 3-ring binder.

_____Quiz 6

_____Quiz 7

_____Quiz 8

All of your graded tests should be kept together in your notebook for easier final exam preparation.

_____Exam 1

_____Exam 2

Note: I should be able to find these items on my own during the check. I will not go back afterward and have you show me where an item is located in order to receive more points.