Graphing Fundamentals Flashcards

1
Q

“Cici’s Pizza”

Cotangents vertical asymptotes are?

A

0pi, pi

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2
Q

“Cici’s pizza!”

Cosecants vertical asymptotes are?

A

0pi, 1pi, 2pi

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3
Q

“Put them twos up!”

Tangents vertical asymptotes are?

A

-pi/2
pi/2

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4
Q

“Put them two’s up!”

Secants vertical asymptotes are?

A

-pi/2
pi/2
3pi/2

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5
Q

X values for graphing sine AND cosine?

A

0, π/2, π, 3 π/2, 2 π

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6
Q

Y value for graphing sine?

A

0 1 0 -1 0

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7
Q

Y value for graphing cosine? (Hint: use sine)

A

sine: 0 1 0 -1 0

cosine: 1 0 -1 0 1

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8
Q

Periods of sine, cosine, cosecant, and secant?

A

2 π/ b

(absolute value of b)

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9
Q

Periods of tangent and cotangent?

A

π/b

(absolute value of b)

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10
Q

Phase shift is…

A

-c/b

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11
Q

Vertical shift is…

A

D

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12
Q

Amplitude equals…

A

A

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13
Q

Which functions have an amplitude?

A

Cosine and Sine

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14
Q

Which functions have a vertical aysmptote?

A

Tangent
Cotangent
Secant
Cosecant

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15
Q

Format of A, B, C, and D in a function?

A

y= Asin(Bx+C)+D
y=Acos(Bx+C)+D
and so on

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16
Q

Cosine of π/3, 60 degrees?

17
Q

Sine of π/3, 60 degrees?

18
Q

Cosine π/4, 45 degrees?

19
Q

Sine π/4, 45 degrees?

20
Q

Sine π/6, 30 degrees?

21
Q

Cosine π/6, 30 degrees?

22
Q

Secant π/2

23
Q

Secant π=

24
Q

Secant 3 π/2

25
Q

Secant(0)=

26
Q

Cosecant (0)=

27
Q

Cosecant π/2

28
Q

Cosecant π

29
Q

Cosecant 3 π/2

30
Q

Fundamental Identity: Tan and Sec?

A

sec^2-tan^2=1

31
Q

Fundamental Identity: Sin and Cos?

A

sin^2+cos^2=1

32
Q

Fundamental Identity: Cotangent and Cosecant?

A

Csc^2-cot^2=1

33
Q

Arc length theorem?

34
Q

Sector area in radians?

A

A= 1/2 (r^2θ)

35
Q

Sector area (in degrees)?

A

( θ/360) πr^2

36
Q

1 minute in degrees?

A

1/60 of a degree

37
Q

1 second in degrees?

A

1/3600 degrees

38
Q

1 minute is represented by

39
Q

1 second is represented by