Domains, Ranges, and Periods Flashcards

1
Q

Domain
sin (θ)

A

Any angle

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2
Q

Domain
cos (θ)

A

Any angle

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3
Q

Domain
tan (θ)

A

θ ≠ (n + ½) π, n = 0, +-1, +-2, …

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4
Q

Domain
csc (θ)

A

θ ≠ nπ, n = 0, +-1, +-2, …

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5
Q

Domain
sec (θ)

A

θ ≠ (n + ½) π, n = 0, +-1, +-2, …

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6
Q

Domain
cot (θ)

A

θ ≠ nπ, n = 0, +-1, +-2, …

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7
Q

Range
sin (θ)

A

-1 < sin (θ) < 1

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8
Q

Range
cos (θ)

A

-1 < cos (θ) < 1

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9
Q

Range
tan (θ)

A

-∞ < tan (θ) < ∞

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10
Q

Range
cot (θ)

A

-∞ < tan (θ) < ∞

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11
Q

Range
sec (θ)

A

sec (θ) ≥ 1 AND sec (θ) ≤ -1

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12
Q

Range
csc (θ)

A

csc (θ) ≥ 1 AND csc (θ) ≤ -1

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13
Q

Period
sin (θ)

A

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14
Q

Period
cos (θ)

A

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15
Q

Period
tan (θ)

A

π

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16
Q

Period
csc (θ)

A

17
Q

Period
sec (θ)

A

18
Q

Period
cot (θ)

A

π