Course Review and Semester Exam
  
Upon successful completion of this course, the student will be able to:
1. express an angle measure in radians, or Degrees, Minutes, Seconds, or Decimal Degrees;
convert degrees to radians and radians to degrees.
2. determine an angle coterminal with a given angle.
3. use the properties of similar triangles to determine missing sides or angles.
4. demonstrate and applly the definitions of the trigonometric functions.
5. demonstrate and apply the reciprocal, Pythagorean, and quotient identities.
6. use the definition of trigonometric ratios to solve a right triangle problem.
7. determine the trigonometric ratios of special angles given in radian measure.
8. state and apply the formula to determine the length of an arc; state and apply the formula to determine the area of a sector.
9. create a graph of the trigonometric functions
10.identify a sine or cosine function, given its amplitude, period, and phase shift.
11.demonstrate and apply the fundamental identities.
12.evaluate an expression involving trigonometric functions and inverse trigonometric functions
13.solve a trigonometric equation involving multiple of halfangles;
solve an equation involving inverse trigonometric functions.
Content Covered
Text Books

Online Resouces

 Many references will be provided throughout the course.

Semester Exam Contents
Review Presentation
    Download the following powerpoint file, and view it as a powerpoint show. The presentation may have some interactive questions so if it asks you to enable macros you can. There are three types of slides – those with some review information, those with examples, and those with practice problems. You should try the practice problems as you encounter them – following the presentation of the problems you will be shown the answer (so complete the problem before you see the answer).
  • Review-01 [PowerPoint show]

Calculator Reference
    A copy of the Calculator Reference will be provided. You may bring additional notes about how to use the calculator functions.

Multiple Choice
    Topics for Multiple Choice Questions (20 - 25 questions)
  • Polar Graph questions - you should be able to plug the equations into your calculator and view a graph. If you know how the parameters in the calculator will change the graph then you may be able to answer the questions without graphing the equations.
  • Converting between degrees, radians, interpreting items marked on a circle or unit circle
  • Parametric equations and their applications, projectile questions
  • Complex numbers - just a few questions since we would have just taken a test on complex numbers
  • Vectors (Section 5.6 in the online textbook) and Component Vectors (Section 5.6 in the online textbook)
  • Classify Triangles
Short Answer /Open Response
    From Mr. Brennan, Hamilton-Wenham Regional High School
    A list of the individual pages are listed below with the number of questions per page. Each page will be in a format that you have seen before. There is some overlap between these resources.
  • Solving Right Triangles, using the basic trig functions and their inverse functions (10 problems)
  • Solving triangles where you have to decide how (Pythagorean Theorem, Law of Sines, Law of Cosines) (5 problems)
  • Selected problems from quiz 1 Law of Sines, Law of Cosines and solving triangles.
  • Navigation problems with triangle questions asking for specific angle or side measures. (5 questions)
  • Basic Trig functions, degrees and radian conversion, first quarter topics. (10 questions)
  • Law-of-Sines.pdf: Apply the Law of Sines to solve problems (5 problems)
  • Here are other practice files you should be able to solve:
    • Page 1From Chapter 9 from the Algebra II book, not the online textbook
    • Page 2 From Chapter 9
    • Excel verification problems. The you were to solve using your Excel spreadsheets - the practice here is to identify which sheet to use. Look closely at the problems sometimes the smallest change will change the way the problem can be solved.