Unit 1 Quiz Formulas Flashcards

1
Q

π/6

A

(√3/2, 1/2

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2
Q

π/4

A

(√2/2, √2/2)

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3
Q

π/3

A

(1/2, √3/2)

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4
Q

π/2

A

(0,1)

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5
Q

2π/3

A

(-1/2, √3/2)

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6
Q

3π/4

A

(-√2/2, √2/2)

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7
Q

5π/6

A

(-√3/2, 1/2)

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8
Q

π

A

(-1,0)

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9
Q

7π/6

A

(-√3/2, -1/2)

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10
Q

5π/4

A

(-√2/2, -√2/2)

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11
Q

4π/3

A

(-1/2, -√3/2)

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12
Q

3π/2

A

(0,-1)

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13
Q

5π/3

A

(1/2, -√3/2)

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14
Q

7π/4

A

(√2/2, -√2/2)

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15
Q

11π/6

A

√3/2, -1/2)

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16
Q

A

(1,0)

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17
Q

π/6 deg

A

30°

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18
Q

π/4 deg

A

45°

19
Q

π/3 deg

A

60°

20
Q

π/2 deg

A

90°

21
Q

2π/3 deg

A

120°

22
Q

3π/4 deg

A

135°

23
Q

5π/6 deg

A

150°

24
Q

π deg

A

180°

25
Q

7π/6 deg

A

210°

26
Q

5π/4 deg

A

225°

27
Q

4π/3 deg

A

240°

28
Q

3π/2 deg

A

270°

29
Q

5π/3 deg

A

300°

30
Q

7π/4 deg

A

315°

31
Q

11π/6 deg

A

330°

32
Q

2π deg

A

360°

33
Q

Positive Coterminal Angle

A

x + 2π = Positive Coterminal

34
Q

Negative Coterminal Angle

A

x - 2π = negative coterminal

35
Q

Complementary angle (90°)

A

theta + x = π/2

36
Q

Supplementary angle (180°)

A

theta + x = π

37
Q

Radian to degree measure

A

Rad/π = x/180

38
Q

Degree to radian measure

A

deg/180 = x/π

39
Q

Arch length

A

theta/360 = x/2π r

40
Q

Area of a sector

A

theta/360 = x/π r^2

41
Q

Radian measure of arch length

A

x/360 = arch length/2π r

42
Q

Radian measure of Central angle

A

theta = arch length/ r

43
Q

Trigonometric functions

A

sin = y
cos = x
tan = y/x
csc = 1/y
sec = 1/x
cot = x/y