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Trigonometry > Unit 1 > Flashcards

Unit 1 Flashcards

1
Q

What is a reference angle?

A

An acute angle created by the terminal side of theta and the x-axis. A reference angle is positive.

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2
Q

What is the domain of y=sin(x)?

A

All real numbers

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3
Q

What is the domain of y=cos(x)?

A

All real numbers

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4
Q

What is the domain of y=tan(x)?

A

x cannot equal pi/2+pi(k), where k is any integer

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5
Q

What is the domain of y=sec(x)?

A

x cannot equal pi/2+pi(k), where k is any integer

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6
Q

What is the domain of y=csc(x)?

A

x cannot equal pi(k), where k is any integer

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7
Q

What is the domain of y=cot(x)?

A

x cannot equal pi(k), where k is any integer

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8
Q

What quadrants is sin(x) positive?

A

QI, QII

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9
Q

What quadrants is cos(x) positive?

A

QI, QIV

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10
Q

What quadrants is tan(x) positive?

A

QI, QIII

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11
Q

What quadrants is sin(x) negative?

A

QIII, QIV

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12
Q

What quadrants is cos(x) negative?

A

QII, QIII

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13
Q

What quadrants is tan(x) negative?

A

QII, QIV

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14
Q

What is the range of y=sin(x)?

A

-1<=y<=1

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15
Q

What is the range of y=cos(x)?

A

-1<=y<=1

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16
Q

What is the range of y=tan(x)?

A

All real numbers

17
Q

What is the range of y=sec(x)?

A

y<=-1 or y>=1

18
Q

What is the range of y=csc(x)?

A

y<=-1 or y>=1

19
Q

What is the range of y=cot(x)?

A

All real numbers

20
Q

What is sin(theta) in terms of opposite, adjacent, or hypotenuse?

A

sin(theta)=opp/hyp

21
Q

What is cos(theta) in terms of opposite, adjacent, or hypotenuse?

A

cos(theta)=adj/hyp

22
Q

What is tan(theta) in terms of opposite, adjacent, or hypotenuse?

A

tan(x)=opp/adj

23
Q

What is sin(theta) in terms of x, y, or r?

A

sin(theta)=y/r

24
Q

What is cos(theta) in terms of x, y, or r?

A

cos(theta)=x/r

25
Q

What is tan(theta) in terms of x, y, or r?

A

tan(theta)=y/x

Trigonometry (2 decks)

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