precalculus rev

sequence

an ordered set of numbers following a specific set of rules

series

the sum of the elements in a given sequence

sigma notation

also called a summation notation

mathematical induction

unique way of proving theorems especially those involving sequence and series

binomial

polynomial that has two terms such as a + b

pascals triangle

consists of all coefficients for binomial expansion

trigonometry

a branch of mathematics that deals with relationships between the sides and angles of a triangle

angle

formed by two lines or rays intersecting at a common point or vertex

angle measure

refers to the amount of rotation done by the terminal side away from the initial side

radian measure

the ratio between the length of the arc intercepted by a central angle and the length of the radius

reference angles

the acute angle formed by the terminal side of the given angle with the x-axis

coterminal angles

two angles in the standard position that have a common terminal side

angle is in standard position

vertex is located at the origin, and initial side is on the positive x-axis

the domain, range, and graphs of circular functions

the graphs of the six circular functions are periodic in nature

asymptote

a line that continually approaches a given curve but does not meet it at any finite distance

amplitude

the height of a function or curve and is commonly defined as half of the difference between the minimum and maximum values of the range of bounded function

period

the length of a cycle in a function

phase shift

amount by which a wave shifts horizontally

vertical shift

amount by which a wave shifts vertically

properties of graphs of sine and cosine functions

periodic functions with a period of 2pi

graph of y = sin

symmetrical along the origin because it is an odd function and intersects the x-axis thrice

graph of y = cos

symmetrical along the y-axis because it is an even function and it intersects along the x-axis thrice