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Trigonometry > Unit Circle (Degrees) > Flashcards

Unit Circle (Degrees) Flashcards

1
Q

sin 0°

A

y/r = 0/1 = 0

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2
Q

sin 30°

A

y/r = 1/2 / 1 = 1/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

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3
Q

sin 45°

A

y/r = √2/2 / 1 = √2/2 (show a △ with 45° in standard position)

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4
Q

sin 60°

A

y/r = √3/2 / 1 = √3/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

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5
Q

sin 90°

A

y/r = 1/1 = 1

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6
Q

sin 120°

A

y/r = √3/2 / 1 = √3/2 (show the 60° reference △)

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7
Q

sin 135°

A

y/r = √2/2 / 1 = √2/2 (show the 45° reference △)

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8
Q

sin 150°

A

y/r = 1/2 / 1 = 1/2 (show the 30° reference △, with the equilateral triangle across the x-axis)

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9
Q

sin 180°

A

y/r = 0/1 = 0

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10
Q

sin 210°

A

y/r = -1/2 / 1 = -1/2 (show the 30° reference △, with the equilateral triangle across the x-axis)

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11
Q

sin 225°

A

y/r = -√2/2 / 1 = -√2/2 (show the 45° reference △)

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12
Q

sin 240°

A

y/r = -√3/2 / 1 = -√3/2 (show the 60° reference △)

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13
Q

sin 270°

A

y/r = -1/1 = -1

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14
Q

sin 300°

A

y/r = -√3/2 / 1 = -√3/2 (show the 60° reference △)

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15
Q

sin 315°

A

y/r = -√2/2 / 1 = -√2/2 (show the 45° reference △)

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16
Q

sin 330°

A

y/r = -1/2 / 1 = -1/2 (show the 30° reference △, with the equilateral triangle across the x-axis)

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17
Q

cos 0°

A

x/r = 1/1 = 1

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18
Q

cos 30°

A

x/r = √3/2 / 1 = √3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

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19
Q

cos 45°

A

x/r = √2/2 / 1 = √2/2 (show a △ with 45° in standard position)

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20
Q

cos 60°

A

x/r = 1/2 / 1 = 1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

21
Q

cos 90°

A

x/r = 0/1 = 0

22
Q

cos 120°

A

x/r = -1/2 / 1 = -1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

23
Q

cos 135°

A

x/r = -√2/2 / 1 = -√2/2 (show a △ with 45° in standard position)

24
Q

cos 150°

A

x/r = -√3/2 / 1 = -√3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

25
Q

cos 180°

A

x/r = -1/1 = -1

26
Q

cos 210°

A

x/r = -√3/2 / 1 = -√3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

27
Q

cos 225°

A

x/r = -√2/2 / 1 = -√2/2 (show a △ with 45° in standard position)

28
Q

cos 240°

A

x/r = -1/2 / 1 = -1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

29
Q

cos 270°

A

x/r = 0/1 = 0

30
Q

cos 300°

A

x/r = -1/2 / 1 = -1/2 (show a △ with 60° in standard position, with equilateral triangle cut in half)

31
Q

cos 315°

A

x/r = √2/2 / 1 = √2/2 = 1/√2 (show a △ with 45° inside the angle)

32
Q

cos 330°

A

x/r = √3/2 / 1 = √3/2 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

33
Q

tan 0°

A

y/x = 0/1 = 0

34
Q

tan 30°

A

y/x = 1/2 / √3/2 = 1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

35
Q

tan 45°

A

y/x = √2/2 / √2/2 = 1 (show a △ with 45° in standard position)

36
Q

tan 60°

A

y/x = √3/2 / 1/2 = √3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

37
Q

tan 90°

A

1/0, which is undefined

38
Q

tan 120°

A

y/x = √3/2 / -1/2 = -√3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

39
Q

tan 135°

A

y/x = √2/2 / -√2/2 = -1 (show a △ with 45° in standard position)

40
Q

tan 150°

A

y/x = 1/2 / -√3/2 = -1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

41
Q

tan 180°

A

y/x = 0/1 = 0

42
Q

tan 210°

A

y/x = -1/2 / -√3/2 = 1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

43
Q

tan 225°

A

y/x = -√2/2 / -√2/2 = 1 (show a △ with 45° in standard position)

44
Q

tan 240°

A

y/x = -√3/2 / -1/2 = √3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

45
Q

tan 270°

A

y/x = -1/0, which is undefined

46
Q

tan 300°

A

y/x = -√3/2 / 1/2 = -√3 (show a △ with 60° in standard position, with equilateral triangle cut in half)

47
Q

tan 315°

A

y/x = -√2/2 / √2/2 = -1 (show a △ with 45° in standard position)

48
Q

tan 330°

A

y/x = -1/2 / √3/2 = -1/√3 (show a △ with 30° in standard position, so an equilateral triangle goes across the x-axis)

Trigonometry (1 decks)

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