Trigonometry Flashcards

(38 cards)

1
Q

sin 30

A

1/2

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2
Q

cos 30

A

√3/2

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3
Q

tan 30

A

√3

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4
Q

sin 60

A

√3/2

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5
Q

cos 60

A

1/2

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6
Q

tan 60

A

√3

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7
Q

sin 45

A

1/√2

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8
Q

cos 45

A

1/√2

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9
Q

tan 45

A

1

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10
Q

sin rule

A

sin A/a = sin B/b = sin C/c

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11
Q

cosine rule (side)

A

c^2 = a^2 + b^2 - 2 * a * b * cos C

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12
Q

cosine rule (angle)

A

cos C = (a^2 + b^2 - c^2)/2 * a * b

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13
Q

Area of a triangle without a right angle

A

1/2 * a * b * sin C

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14
Q

Quadrant 1 (All)

A

y = sin Θ
x = cos Θ
y/x = tan Θ

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15
Q

Quadrant 2 (Stations)

A

sin (180 - Θ) = sin Θ
cos (180 - Θ) = - cos Θ
tan (180 - Θ) = - tan Θ

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16
Q

Quadrant 3 (To)

A

sin (180 + Θ) = - sin Θ
cos (180 + Θ) = - cos Θ
tan (180 + Θ) = tan Θ

17
Q

Quadrant 4 (Central)

A

sin (360 - Θ) = - sin Θ
cos (360 - Θ) = cos Θ
tan (360 - Θ) = - tan Θ

18
Q

sin (0, 360)

19
Q

sin (90)

20
Q

sin (180)

21
Q

sin (270)

22
Q

cos (0, 360)

23
Q

tan (0, 360)

24
Q

cos (90)

25
tan (90)
Undefined
26
cos (180)
-1
27
tan (180)
0
28
cos (270)
0
29
tan (270)
Undefined
30
cosecΘ
1/sinΘ
31
secΘ
1/cosΘ
32
cotΘ
sinΘ/cosΘ or 1/tanΘ
33
cosΘ
sin(90-Θ)
34
cosecΘ
sec(90-Θ)
35
cotΘ
tan(90-Θ)
36
sin^2+cos^2
1
37
1+cot^2Θ
cosec^2Θ | one and a cot is cosy
38
1+tan^2Θ
sec^2Θ | one and a tan is sexy