Trigonometric formula Flashcards

1
Q

Cos(a±b)

A

Cosa.Cosb∓Sina.Sinb

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2
Q

Sin(a±b)

A

Sina.Cosb±Sinb.Cosa

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3
Q

tan(a±b)

A

(tana±tanb)/(1∓tana.tanb)

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4
Q

Sin2α

A

2SinαCosα

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5
Q

Cos2α

A

Cos²α-Sin²α=1-2Sin²α=2Cos²α-1

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6
Q

tan2α

A

2tanα/(1-tan²α)

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7
Q

Sin3α

A

3Sinα-4Sin³α

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8
Q

Cos3α

A

4Cos³α-3Cosα

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9
Q

Cosa+Cosb

A

2Cos(a+b/2).Cos(a-b/2)

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10
Q

Cosa-Cosb

A

-2Sin(a+b/2).Sin(a-b/2)

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11
Q

Sina+Sinb

A

2Sin(a+b/2).Cos(a-b/2)

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12
Q

Sina-Sinb

A

2Cos(a+b/2).Sin(a-b/2)

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13
Q

Cosa.Cosb

A

½⌈Cos(a+b)+Cos(a-b)⌋

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14
Q

Sina.Sinb

A

-½⌈Cos(a+b)-Cos(a-b)⌋

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15
Q

Sina.Cosb

A

½⌈Sin(a+b)+Sin(a-b)⌋

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16
Q

Sina+Cosb

A

√2.Sin(x+π/4)=√2.Cos(x-π/4)

17
Q

Sina-Cosb

A

√2.Sin(x-π/4)