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
if x = ¼,
g(x) = arcsin x
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