Formler Flashcards

(27 cards)

1
Q

Cos(u-v)

A

Cos(u) Cos(v) + Sin(u) Sin(v)

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2
Q

Cos(u+v)

A

Cos(u) Cos(v) - Sin(u) Sin(v)

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3
Q

Sin(u+v)

A

Sin(u) Cos(v) + Cos(u) Sin(v)

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4
Q

Sin(u-v)

A

Sin(u) Cos(v) - Cos(u) Sin(v)

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5
Q

Cos(2v)

A

Cos2(v) - Sin2(v)
1 - Sin2(v)
2Cos2(v) - 1

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6
Q

Sin(2v)

A

2Sin(v)Cos(v)

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7
Q

Cos2(v)

A

1/2 + 1/2Cos(2v)

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8
Q

Sin2(v)

A

1/2 - 1/2Cos(2v)

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9
Q

Cos2(v) + Sin2(v)

A

1

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10
Q

Cos(-v)

A

Cos(v)

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11
Q

Tan(-v)

A

-Tan(v)

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12
Q

Cos(v+pi)

A

-Cos(v)

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13
Q

Cos(pi/2-v)

A

Sin(v)

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14
Q

Tan(pi/2-v)

A

Cot(v)
1/Tan(v)

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15
Q

Sin(-v)

A

-Sin(v)

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16
Q

Cot(-v)

17
Q

Cot(v+pi)

18
Q

Sin(pi/2-v)

19
Q

1/Cos2(v)

20
Q

Tan(u+v)

A

(Tan(u) + Tan(v))/(1 - Tan(u)Tan(v)

21
Q

Tan(u-v)

A

(Tan(u) - Tan(v))/(1 + Tan(u)Tan(v))

22
Q

Tan(2v)

A

2Tan(v)/(1 - Tan2(v))

23
Q

Cos(u) + Cos(v)

A

2Cos((u+v)/2) Cos((u-v)/2)

24
Q

Cos(u) - Cos(v)

A

-2Sin((u+v)/2) Sin((u-v)/2)

25
Sin(u) + Sin(v)
2Sin((u+v)/2) Cos((u-v)/2)
26
Sin(u) - Sin(v)
2Cos((u+v)/2) Sin((u-v)/2)
27
Cot
1/Tan