Download Math 229 Exam 2 Study Guide: Trigonometry Concepts and Functions and more Exams Trigonometry in PDF only on Docsity! Math 229 EXAM 2 STUDY GUIDE Exam 2 is Friday October 17th. The exam is closed book and no notes will be allowed. Don’t forget to bring your scientific calculator (no graphing calculators allowed). Definitions, relationships, and formulas you should know • The definition of a reference angle. • The reference angle theorem. • The definition of the radian measure of an angle • The third definition of the trigonometric functions • Arc Length formula • Area of a sector formula • Linear velocity formula • Angular velocity formula • Relationship between linear velocity, radius, and angular velocity • Period of a function and the periods of the trigonometric functions • The definitions of an even function and an odd function • The amplitude of a sine or cosine function. • The domain and ranges of the trigonometric functions • The phase shift of a trigonometric function • The inverse of a function • The inverses of sine, cosine and tangent Things you should be able to do: • Find the reference angle of a given angle • Convert between degrees and radians • Find an angle given the value of a trigonometric function and the quadrant of the angle • Find the exact values of any trigonometric function of any angle whose reference angle is 6 4 30, , ,π π π or 2π radians • Find all possible angles between 0 and 360 degrees that have a given value of sine, cosine, etc… • Given two of the following three, find the third: angle, radius, arclength • Given two of the following three, find the third: angle, radius, sector area • Given two of the following three, find the third: linear velocity, angular velocity, radius • Convert between rotations per unit of time and radians per unit of time • Sketch two complete periods of a trigonometric function of the form sin( )y A Bx C D= + + • Determine the period, amplitude, and phase shift of the function in the bullet above • Perform the above two tasks where sine is replaced with one of the following five functions: cosine, tangent, cotangent, secant, cosecant • Determine a possible function matching a given graph • Using a calculator evaluate the inverse trigonometric functions, arcsine, arccosine, and arctangent • Without using a calculator evaluate the inverse trigonometric functions, arcsine, arccosine, and arctangent finding the exact values of each Review problems: For review you should work through the chapter tests for chapter 3 and chapter 4 (skip problems 20 and 21). The answers to all of the chapter test questions are given in the back of your text.
