MATH 2412 Precalculus
North Lake College
David Katz, instructor
Section by Section List of Test Topics For Exam #4 (Chapter 6)
The exam will consist of 10 multiple-choice questions from this list of 25 topics from your homework sections.
(6-1) Convert degree measure of an angle to radian measure
(6-1) Convert radian measure of an angle to degree measure
(6-1) Determine an angle that is coterminal with the given angle
(6-1) Identify the initial position of an angle within a unit circle
(6-1) Know that positive angles rotate counter-clockwise within the unit circle
(6-1) Know that negative angles rotate clockwise within the unit circle
(6-1) Compute arc length (p.477)
(6-1) Compute area of a sector of a circle (p.478)
(6-2) Know the right triangle definitions of the six trig ratios (p.483)
(6-2) Solve a right triangle for all three sides and all three angles, using the trig ratios and/or the Pythagorean Theorem\
(6-2) Know the trig ratios for common angles as in Table-1 on p.485
(6-2) Use the trig ratios for common angles to exact value of a trig expression (e.g., #23, 25, 27 in the homework)
(6-2) Use trig ratios to measure an inaccessible distance (e.g., height of building, distance across river, etc.)
(6-3) Identify the quadrant in which an angle terminates given the values of two trig functions of that angle
(6-3) Determine the value of the other five trig functions given certain information like one trig value
(6-3) Calculate the area of triangle using the formula on p.500
(6-3) Calculate the exact value of a trig function of an angle that is coterminal with one of the common angles
(6-4) Use the Law of Sines to solve a triangle
(6-4) Know when the Law of Sines leads to two possible solutions (the ambiguous case)
(6-4) Calculate the two possible solutions of a triangle in the ambiguous case
(6-4) Know when the Law of Sines leads to no possible solution (i.e., the triangle cannot exist)
(6-4) Use the Law of Sines to solve applied surveying problems
(6-5) Use the Law of Cosines to solve a triangle
(6-5) Decide when to use the Law of Cosines over the Law of Sines, and vice versa, when solving a triangle
(6-5) Use the Law of Cosines to solve an applied surveying or navigation problem