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AP Pre Calc > 3.1-3.3 > Flashcards

3.1-3.3 Flashcards

1
Q

periodic relationship

A

the output values demonstrate a repeating pattern over successive equal length intervals

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2
Q

the period of a periodic function is…

A

the length it takes to complete a cycle

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3
Q

to find the value at any point in a period…

A

subtract the starting value of the period and divide by the period
count in the fraction to find the value

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4
Q

a periodic function is also…

A

a horizontal translation of itself

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5
Q

standard position

A

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

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6
Q

terminal ray

A

the second ray of an angle in standard position (ending side)

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7
Q

sin

A

y/r

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8
Q

cos

A

x/r

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9
Q

tan

A

y/x

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10
Q

r

A

the hypotenuse

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11
Q

ASTC

A

going from Q1-Q4 which calculations will be positive?
Q1 = A = All!
Q2 = S = Sin
Q3 = T = Tan
Q4 = C = Cos

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12
Q

positive and negative angles

A

positive - up/counterclockwise
negative - down/clpckwise

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13
Q

a revolution

A

a full circle, 360 degrees

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14
Q

theta

A

arc length/radius

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15
Q

units for theta

A

radians

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16
Q

to find arc length

A

2pir/part of circle

17
Q

unit circle

A

circle with a radius of 1

18
Q

parts to memorize of a unit circle

A

0/2pi:pi/6:pi/4:pi/3:pi/2:pi:3pi/2

19
Q

sin cos tan of a unit circle

A

sin = y
cos = x
tan = y/x

20
Q

coordinates of point P

A

(cosr, sinr)

21
Q

equilateral triangle

A

sides and angels all the same

22
Q

isosceles triangle

A

2 sides are equal length

23
Q

angles of a triangle add up to

A

180

24
Q

coordinates of pi/6

A

x: sqrt(3)/2
y: 1/2

25
Q

coordinates of pi/4

A

x: sqrt(2)/2
y: sqrt(2)/2

26
Q

coordinates of pi/3

A

x: 1/2
y: sqrt(3)/2

27
Q

30 60 90 triangle

A

60-90 a
hy - 2a
30-90 - a(sqrt3)

28
Q

45 45 90 triangle

A

a, a, a(sqrt(2))

AP Pre Calc (10 decks)

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