Pre-Calculus Definition of Terms PDF

PRE-CALCULUS DEFINITION OF TERMS WEEK 2 Six circular functions - are trigonometric functions that are defined WEEK 1...

PRE-CALCULUS DEFINITION OF TERMS WEEK 2 Six circular functions - are trigonometric functions that are defined WEEK 1 using the unit circle: Radian - is the measure of the central angle subtended by an arc of a circle ▪ Sine function as sin θ = y whose length is equal to the radius of ▪ Cosine function as cos θ = x the circle. ▪ Tangent function as tan θ =y/x Angle - consists of two rays with a provided that x ≠ 0 common endpoint (∠ABC). Measured in ▪ Cotangent function as cot θ= x/y, degrees (°). provided that y ≠ 0 ▪ Cosecant function as csc θ=1/y, Vertex – formed by two lines or rays that provided that y ≠ 0 intersect at a point. (Point B in the diagram below) ▪ Secant function as sec θ = 1/x, provided that x ≠ 0. Sides - rays and. WEEK 3 and 4 Domain - set of all the values of the x coordinate Range - set of all the values of the y The initial side is where the angle coordinate starts, and the terminal side is the ray Amplitude - half the distance between where the measurement of the angle the lowest and highest point of the graph. Period - number of times the graph goes from one peak to another. Phase Shift - measurement of how far stops. the function is shifted from the usual Standard position - an (1) angle is in position either horizontally or vertically. standard position if its vertex is at the origin and its initial side coincides with WEEK 5 positive x axis. Identity - is an equation that is true for Coterminal angle - Two angles in all values of the variable in the domain of standard position are said to be the equation. Involves circular functions of coterminal if their terminal sides θ. coincide. Linear measure - is the length of the arc WEEK 6 of the circle that subtends the angle. Inverse function – a function that Reference angle - is the smallest reverses what a given function does and positive angle formed between the is usually denoted by f−1 terminal side and the x − axis. Interval – is a set of real numbers that Unit circle - the study of Circular contains all real numbers lying between Function based on the circle with any two numbers of the set. equation 2 + 2= 1. Fundamental Solution Set (FSS) – is the set of all values satisfying the Equation  Trigonometric Equation – is any equation that involves trigonometric expression