Functions
The set of function input values
What is domain?
Out of the options, which angle is coterminal to -185?
Options: -5, -365, 175, -95
What is 175?
What is an asymptote?
Simplify the expression: cos90°cos270°
Component form formula
What is <Δ x, Δ y>
If a function passes this test, we can say it has an inverse.
What is the Horizontal Line Test?
In the fourth quadrant, which trig function(s) is/are always negative?
Both sine and tangent.
Determine the amplitude of f(x) = (-2/3)sin4x
What is 2/3?
What is the quotient identity of tan?
What is (sin/cos)?
Direction angles are... (positive or negative?)
What is positive?
Notation using this form of brackets: { }
What is set-builder notation?
Determine the quadrant in which the terminal side of the angle -395 degrees lies.
What is quadrant IV?
The period and key interval of a sine graph
What is 2π (period) and π/2 (key interval)?
What is the tangent value for 60° on the unit circle?
What is √3?
Difference between standard position and zero vector
Standard position: initial point is at the origin
Zero vector: initial and terminal points are at the origin
Starting position: g(x) = x2
Ending position: g(x) = (x+1)2 + 10
Describe the transformation of the graph.
What is a horizontal shift 1 to the left, a vertical shift 10 units up?
-234 degrees in radian form.
What is -13π / 10?
Formula for frequency
What is 1/period?
Determine all six even/odd identities (sin, cos, tan, csc, sec, cot)
sin(-θ) = -sinθ
cos(-θ) = cosθ
tan(-θ) = -tanθ
csc(-θ) = -cscθ
sec(-θ) = secθ
cot(-θ) = -cotθ
<x, y> = ( (cosθ)|u|, (sinθ)|u| )
What is f-1 = 2x-4?
List the sin, cos, tan, csc, sec, and cot values for 45 degrees.
sin: √2 / 2
cos: √2 / 2
tan: 1
csc: √2
sec: √2
cot: 1
Determine the period, key interval, horizontal shift, and vertical shift of this graph.
y = -cos(3x + π/2) + 3
Period: 2π/3
Key interval: π/6
Horizontal shift: π/6 left
Vertical shift: up 3
Sum formula for sin(u+v), cos(u+v), and tan(u+v)
sin(u+v) = sinu cosv + cosu sinv
cos(u+v) = cosu cosv - sinu sinv
tan(u+v) = (tanu + tanv) / (1 - tanu * tanv)
Formula for finding an angle between two non-zero vectors
cosθ = (u * v) / ( ||u|| * ||v||)