PRE-CALC!!!

Functions

100

The set of function input values

What is domain?

200

If a function passes this test, we can say it has an inverse.

What is the Horizontal Line Test?

300

Notation using this form of brackets: { }

What is set-builder notation?

400

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?

500

If f(x) = (x+4)/2 , find the inverse of f(x).

What is f^-1 = 2x-4?

Circle Trigonometry

100

Out of the options, which angle is coterminal to -185?

Options: -5, -365, 175, -95

What is 175?

200

In the fourth quadrant, which trig function(s) is/are always negative?

Both sine and tangent.

300

Determine the quadrant in which the terminal side of the angle -395 degrees lies.

What is quadrant IV?

400

-234 degrees in radian form.

What is -13π / 10?

500

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

Graphing Trig Functions

100

Present when a tangent is undefined

What is an asymptote?

200

Determine the amplitude of f(x) = (-2/3)sin4x

What is 2/3?

300

The period and key interval of a sine graph

What is 2π (period) and π/2 (key interval)?

400

Formula for frequency

What is 1/period?

500

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

Trig Identities

100

Simplify the expression: cos90°cos270° 

What is 0?

200

What is the quotient identity of tan?

What is (sin/cos)?

300

What is the tangent value for 60° on the unit circle?

What is √3?

400

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

500

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)

Vectors

100

Component form formula

What is <Δ x, Δ y>

200

Direction angles are... (positive or negative?)

What is positive?

300

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

400

Formula for finding component form of a vector when magnitude and angle are given

<x, y> = ( (cosθ)|u|, (sinθ)|u| )

500

Formula for finding an angle between two non-zero vectors

cosθ = (u * v) / ( ||u|| * ||v||)