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Calculus > Trigonometry > Flashcards

Trigonometry Flashcards

1
Q

1 radian

A

(180/pi) degrees

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2
Q

1 degree

A

(pi/180)rradians

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3
Q

0 degrees

A

0 radians

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4
Q

0 radians

A

0 degrees

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5
Q

30 degrees

A

pi/6

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6
Q

pi/6

A

30 degrees

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7
Q

45 degrees

A

pi/4

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8
Q

pi/4

A

45 degrees

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9
Q

60 degrees

A

pi/3

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10
Q

pi/3

A

60 degrees

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11
Q

90 degrees

A

pi/2

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12
Q

pi/2

A

90 degrees

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13
Q

120 degrees

A

2pi/3

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14
Q

2pi/3

A

120 degrees

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15
Q

135 degrees

A

3pi/4

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16
Q

3pi/4

A

135 degrees

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17
Q

150 degrees

A

5pi/6

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18
Q

5pi/6

A

150 degrees

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19
Q

180 degrees

A

pi

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20
Q

pi

A

180 degrees

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21
Q

270 degrees

A

3pi/2

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22
Q

3pi/2

A

270 degrees

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23
Q

360 degrees

A

2pi

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24
Q

2pi

A

360 degrees

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25
Q

sin(theta)

A

opp/hyp

y/r

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26
Q

csc(theta)

A

hyp/opp
r/y
1/(sin(theta))

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27
Q

cos(theta)

A

adj/hyp

x/r

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28
Q

sec(theta)

A

hyp/adj
r/x
1/(cos(theta))

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29
Q

tan(theta)

A

opp/adj
y/x
(sin(theta))/(cos(theta))

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30
Q

cot(theta)

A

adj/opp
x/y
(1/(tan(theta))
(cos(theta))/(sin(theta))

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31
Q

sin(pi/4)

A

1/(sqrt2)

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32
Q

sin(pi/6)

A

1/2

33
Q

sin(pi/3)

A

(sqrt3)/2

34
Q

cos(pi/4)

A

1/(sqrt2)

35
Q

cos(pi/6)

A

(sqrt3)/2

36
Q

cos(pi/3)

A

1/2

37
Q

tan(pi/4)

A

1

38
Q

tan(pi/6)

A

1/(sqrt3)

39
Q

tan(pi/3)

A

sqrt3

40
Q

sin(0)

A

0

41
Q

cos(0)

A

1

42
Q

sin(pi/2)

A

1

43
Q

cos(pi/2)

A

0

44
Q

sin(2pi/3)

A

(sqrt3)/2

45
Q

cos(2pi/3)

A

-1/2

46
Q

sin(3pi/4)

A

1/(sqrt2)

47
Q

cos(3pi/4)

A

-1/(sqrt2)

48
Q

sin(5pi/6)

A

1/2

49
Q

cos(5pi/6)

A

-(sqrt3)/2

50
Q

sin(pi)

A

0

51
Q

cos(pi)

A

-1

52
Q

sin(3pi/2)

A

-1

53
Q

cos(3pi/2)

A

0

54
Q

sin(2pi)

A

0

55
Q

cos(2pi)

A

1

56
Q

sin2(theta)+cos2(theta)

A

1

57
Q

tan*2(theta)+1

A

sec*2(theta)

58
Q

1+cot*2(theta)

A

csc*2(theta)

59
Q

sin(-theta)

A

-sin(theta)

60
Q

cos(-theta)

A

cos(theta)

61
Q

sin(x+y)

A

sin(x)cos(y)+cos(x)sin*y)

62
Q

cos(x+y)

A

cos(x)cos(y)-sin(x)sin(y)

63
Q

sin(x-y)

A

sin(x)cos(y)-cos(x)sin(y)

64
Q

cos(x-y)

A

cos(x)cos(y)+sin(x)sin(y)

65
Q

tan(x+y)

A

(tan(x)+tan(y))/(1-tan(x)tan(y))

66
Q

tan(x-y)

A

(tan(x)-tan(y))/(1+tan(x)tan(y))

67
Q

sin(2x)

A

2sin(x)cos(x)

68
Q

cos(2x)

A

cos2(x)-sin2(x)
2cos2(x)-1
1-2sin2(x)

69
Q

cos*2(x)

A

(1+cos(2x))/2

70
Q

sin*2(x)

A

(1-cos(2x))/2

71
Q

sin(x)cos(y)

A

1/2(sin(x+y)+sin(x-y))

72
Q

cos(x)cos(y)

A

1/2(cos(x+y)+cos(x-y))

73
Q

sin(x)sin(y)

A

1/2(cos(x-y)-cos(x+y))

74
Q

Range of sin(x)

A

[-1,1]

75
Q

Range of cos(x)

A

[-1,1]

76
Q

The Law of Sines

A

sinA/a = sinB/b = sinC/c

77
Q

The Law of Cosines

A 
a*2 = b*2 + c*2 - 2bc(cosA)
b*2 = a*2 + c*2 - 2ac(cosB)
c*2 = a*2 + b*2 - 2ab(cosC)
78
Q

tan(2x)

A

(2tan(x))/(1-tan*2(x))

Calculus (4 decks)

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