The College Algebra-Trigonometry examination covers material that is usually taught in a one-semester college course that includes both algebra and trigonometry. Such a course is usually taken by students who have studied algebra and geometry in high school, but need additional study of precalculus mathematics before enrolling in calculus and other advanced courses at the college level. Approximately half of the test is made up of routine problems requiring basic algebraic and trigonometric skills; the remainder involves solving non-routine problems in which candidates must demonstrate their understanding of concepts. The algebra part of the test includes questions on basic algebraic operations; linear and quadratic equations, inequalities, and graphs; algebraic, exponential, and logarithmic functions; and miscellaneous other topics. The trigonometry part of the test includes questions on trigonometric functions and their relationships, evaluation of trigonometric functions of positive and negative angles, trigonometric equations and inequalities, graphs of trigonometric functions, trigonometry of the triangle, and miscellaneous other topics. Ti is assumed that the candidate is familiar with currently taught algebraic and trigonometric vocabulary and notation and with both radian and degree measure. The College Algebra-Trigonometry examination requires all of the knowledge and skills required by the separate examinations in College Algebra and Trigonometry. The combined examenaation contains 63 questions to be answered in 90 minutes. There are three separately timed sections.Part 1 consists of 30 algebra questions in 45 minutes; an online scientific calculator is provided, although there are no questions that require a calculator.Part 2 contains 13 questions to be answered in 15 minutes and does not allow the use of a calculator.Part 3 contains 20 questions to be answered in 30 minutes and requires the use of an online scientific calculator. Any time candidates spend on tutorials and providing personal information is in addition to the actual testing time.
Trigonometry (52% of exam)- questions on the test require candidates to demonstrate the following abilities in the approximate proportions indicated:Solving routine problems involving basic trigonometric skills (about 60 percent of the examination)Solving non-routine problems requiring an understanding of concepts and the application of skills and concepts (about 40 percent of the examination). The subject matter of the trigonometry portion as the examination is drawn from the following topics:Trigonometric functions and their relationships- circular or wrapping functions; Determining a function from a given function; Confunction relationships; Reciprocal relationships; Pythagorean relationships; Functions of two angles double angles and half angles Identities15% Evaluation of trigonometric functions of angles10% Trigonometric equations' and inequalities15% Interpreting graphs of trigonometric functions15% Trigonometry of the triangle including the law of sines and the law of cosines 20% Miscellaneous- Inverse functions (arcsin, arcos, arctan); Polar coordinates.