Chapter 6 - Trigonometric Functions Flashcards

1
Q

Sec(x)

A

1/cos(x)

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2
Q

cosec(x)

A

1/sin(x)

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3
Q

cot(x)

A

1/tan(x)

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4
Q

Identity for sec^2(x)

A

1 + tan^2(x)

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5
Q

Identity for cosec^2(x)

A

1 + cot^2(x)

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6
Q

When is sec(x) undefined

A

values of x where cos(x) = 0

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7
Q

When is cosec(x) undefined

A

values of x where sin(x) = 0

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8
Q

When is cot(x) undefined

A

values of x where tan(x) = 0

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9
Q

domain of y=sec(x)

A

x E R, x doesn’t = 90n/pi(n)/2

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10
Q

range of y=sec(x)

A

y ≤ -1
y ≥ 1

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11
Q

domain of y=cosec(x)

A

x E R, x doesn’t = 180n/pi(n)

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12
Q

range of y=cosec(x)

A

y ≤ -1
y ≥ 1

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13
Q

domain of y=cot(x)

A

x E R, x doesn’t = 180n/pi(n)

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14
Q

range of y=cot(x)

A

y E R

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15
Q

period of y=sec(x) and y=cosec(x)

A

360 degrees / 2pi rad

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16
Q

period of y=cot(x)

A

180 degrees/ pi rad

17
Q
A