Graphing Fundamentals Flashcards by Faith Joseph

Q

“Cici’s Pizza”

Cotangents vertical asymptotes are?

A

0pi, pi

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Q

“Cici’s pizza!”

Cosecants vertical asymptotes are?

A

0pi, 1pi, 2pi

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Q

“Put them twos up!”

Tangents vertical asymptotes are?

A

-pi/2
pi/2

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Q

“Put them two’s up!”

Secants vertical asymptotes are?

A

-pi/2
pi/2
3pi/2

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Q

X values for graphing sine AND cosine?

A

0, π/2, π, 3 π/2, 2 π

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Q

Y value for graphing sine?

A

0 1 0 -1 0

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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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Q

Periods of sine, cosine, cosecant, and secant?

A

2 π/ b

(absolute value of b)

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Q

Periods of tangent and cotangent?

A

π/b

(absolute value of b)

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Q

Phase shift is…

A

-c/b

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Q

Vertical shift is…

A

D

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Q

Amplitude equals…

A

A

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Q

Which functions have an amplitude?

A

Cosine and Sine

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Q

Which functions have a vertical aysmptote?

A

Tangent
Cotangent
Secant
Cosecant

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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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Q

Cosine of π/3, 60 degrees?

A

1/2

Q

Sine of π/3, 60 degrees?

A

√3/2

Q

Cosine π/4, 45 degrees?

A

√2/2

Q

Sine π/4, 45 degrees?

A

√2/2

Q

Sine π/6, 30 degrees?

A

1/2

Q

Cosine π/6, 30 degrees?

A

√3/2

Q

Secant π/2

A

0

Q

Secant π=

A

-1

Q

Secant 3 π/2

A

0

Secant(0)=

1

Cosecant (0)=

undefined

Cosecant π/2

1

Cosecant π

undefined

Cosecant 3 π/2

-1

Fundamental Identity: Tan and Sec?

sec^2-tan^2=1

Fundamental Identity: Sin and Cos?

sin^2+cos^2=1

Fundamental Identity: Cotangent and Cosecant?

Csc^2-cot^2=1

Arc length theorem?

s=rθ

Sector area in radians?

A= 1/2 (r^2θ)

Sector area (in degrees)?

( θ/360) πr^2

1 minute in degrees?

1/60 of a degree

1 second in degrees?

1/3600 degrees

1 minute is represented by

1'

1 second is represented by

1''