Math 3.11 TEST Review Flashcards

1
Q

Csc

A

Reciprocal of sine
(Graph u shaped going up)

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2
Q

Sec

A

Reciprocal of cosine
(Graph u shaped going up but starts on y axis)

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3
Q

Cot

A

Reciprocal of tan
Diagonal going up to down

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4
Q

Arcsin(sin-1)

A

Inverse of sine
Diagonal going from down to up

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5
Q

Arccos(cos-1)

A

Inverse of cosine
Diagonal going up to down

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6
Q

Arctan(tan-1)

A

Inverse of tan
Longer graph starts low and then increases

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7
Q

Tangent is always increasing or decreasing?

A

Increasing

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8
Q

Cotangent is always increasing or decreasing?

A

Decreasing

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9
Q

Cos (theta)=0

A

Vertical asymptote exists

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10
Q

Sin(theta)=0

A

An x-intercept exists

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11
Q

Range of tan(theta) and cot(theta)

A

(-♾️,♾️)

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12
Q

Domain of cot(theta)

A

Theta ❌= 0+🥧k+ K E Z

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13
Q

Range of csc(Theta)

A

(-♾️,-1] U [1, ♾️)

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14
Q

Range of csc and sec

A

(-♾️,-1] U [1,♾️)

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15
Q

Domain of csc

A

Theta ❌= 0 🥧k, KEZ

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16
Q

Domain of sec

A

0 ❌= 0+ 🥧/2k, KEZ

17
Q

1/0

A

Undefined

18
Q

0/1

A

0

19
Q

Negative exponent on a variable

A

Reciprocal

20
Q

Negative exponent on a function

A

Use inverse

21
Q

Cosine

A

Goes through 0

22
Q

When it says solve for all values

A

Don’t use restricted domains

23
Q

Tangent

A

Period is 🥧
Range all real numbers
Domain- Theta ❌= 🥧/2+k🥧

24
Q

Sin

A

Starts at (0,0)
Period 2🥧(same for cos)