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 Math 1303 – Final Exam – outline -- Look at the bottom of this review for updated information Basic Topics 1) distance formula between two points 2)Pythagorean Thm. 3) Definitions of trig function – make sure those of you who have missed this question all semester will look at your notes. 4) Special Angles, triangles, axes angles and their trig. value: sin 3150 = _____ 5) Graphs of six trig. functions 6) Functions, relations, domain, range 7) Fundamental 8 identities 8) Terms: cofunction, coterminal, quadrant angle, related angle, supplementary, complementary, cofunctions , reciprocal functions, standard position 9) Theorems: a) A trig function of any angle will be equal to the same trig. function of any angle that is coterminal with the given angle. b) A trig. function of any angle will be numerically equal to any other angle with the same related angle ( signs may differ) c) any trig function of a given angle will be equal to its cofunction of the complementary angle 10) Identities: double, half, sum, difference use them, convert from one to another, prove 11) even, odd, composition of functions  gof (x) = _______ 12) graphs of the same trig. functions with different periods and amplitude; period, amplitude 13) Solution of equations 13) Graphs of log., exponential functions, inverse functions 14. Finding the inverse functions; finding the domain and range of inverse functions, graphs of relations, graphs of the functions 15) Values of inverse functions; arcsin 1/3 = _____, cos ( sin –1 1/3 ) = ________,… 16) Oblique triangles: law of sines, law of cosines 17) complex numbers : all the definitions, graphs, roots, powers, products, quotients, trig. form, algebraic form, modulus, … Additional material: composition of functions – given f(x) = 2x – 1 g(x) = arcsin x if x = ¼, find g( f (x) . What is the inverse function of f(x) = log2 x ? Find ( 1 + i) ( 2 - 2i ) by using their trig. form  ( 1 + i )  ( 2 – 2i ) by using their trig. form  ( 1 + i )10 by using their trig. form  Find the cube roots of 8  all three Find all of the fourth roots of - 16  use trig. form, leave answer in cis form , do not simplify Find x if log4 1/6 = x log 3 9 = x Sketch the graph of y = log 4 x Sketch the graph of y = 4x Find the inverse function of each of the following . Leave in the form y = _____ a) y = 2x – 5 b) y = 3x c) y = tan x

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