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College Trig
Exam 3 Review
Exam Date: November 20th, 2008
New Material on the Exam: 8.1 – 8.4, 9.1 – 9.3, 10.7
Review Items:
 Go back over exams 1 and 2. The solutions to both are on blackboard.
Section 8.1 (Solving Right Triangles)
 Know Pythagorean theorem and the 3 basic trig functions with their inverses.
 Suggested Review Problems: p775 #9-21odds, 27, 31
Section 8.2 (Law of Sines)
 Know the general form of law of sines.
 Know when to use law of sines (usually when you have two angles).
 Know when it is safe to use law of sines to find an angle.
 Be able to explain (a picture is fine) why A.S.S. is a potentially dangerous
situation.
 Suggested Review Problems: p785 9-35odds
Section 8.3 (Law of Cosines)
 Know the law of cosines.
 Know when the law of cosines can be applied.
 Know how to find angles with law of cosines.
 Know why using law of cosines to find angles is preferred over law of sines.
 Suggested review problems: p793 9-31odds
Section 8.4 (Area of a Triangle)
 Know the three basic formulas for area of a triangle (from a right triangle with
base and height, from an oblique triangle with two sides and an angle, and from
an oblique triangle with three sides).
 Suggested Review Problems: p798 #5-23odds
Section 9.1 (Polar Coordinates)
 Know how to plot polar points with positive and negative radii.
 Know how to write more than one set of coordinates for any polar point.
 Know how to convert to and from polars.
 You will not have to convert an equation from polars to rectangular or visa
versa.
 Suggested Review Problems: 9826 #11-73 odds.
Section 9.2 (Polar Equations and Graphing)
 Know how to make a basic polar graph using a table of theta and r values.
 Know the basic forms of a circle, lemicon, rose curve, and a line.
 Know how to graph a polar equation in the r-theta plane and in the polar plane
(remember the WS you did for homework?)

Suggested Review Problems: p843 #13 – 65 odds
Section 9.3 (Complex Numbers)
 Know how to plot a complex number on the complex plane.
 Know how to find the magnitude (aka absolute value) of a complex number.
 Know how to convert a complex number to and from polar and rectangular forms.
 Know how to multiply and take powers of complex numbers.
 Know how to divide complex numbers.
 Know how to use DeMoivre’s Theorem to find the roots and powers of complex
numbers.
 Know how many roots a complex number will have.
 Suggested Review Problems: p853 #11-59 odds
Section 10.7 (Parametric Equations)
 Know how to create a parametric graph using a table of values.
 Know how to find the starting and ending points of a parametric graph.
 Know how to convert a set of parametric equations to a rectangular equation.
 Review the projectile motion problems and the pursuit problems.
 Suggested Review Problems: p944 #7-25odds, 49, 57
Remember, there will be some review of concepts from chapters 6 and 7 on this exam.
There will not be any trig identity problems from chapter 7, but those will be on the final.
Start studying them NOW.
Good luck and happy studying.
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