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Math Formulas > Trigonometric Identities > Flashcards

Trigonometric Identities Flashcards

1
Q

Sin(2u)

Double Angle Formula

A

2Sin(u)Cos(u)

Double Angle Formula

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1
Q

Tan2(Ø) + 1

Pythagorean Identity

A

Sec2(Ø)

Pythagorean Identity

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1
Q

Cot2(Ø) + 1

Pythagorean Identity

A

Csc2(Ø)

Pythagorean Identity

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1
Q

[1 - Cos(2u)] / 2

Half-Angle Formula

A

Sin2(u)

Half-Angle Formula

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2
Q

Cos(2u) [v.3]

Double Angle Formula

A

1 - 2Sin2(u)

Double Angle Formula

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2
Q

a / Cot(kØ)

Reciprocal Identity

A

aTan(kØ)

Reciprocal Identity

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4
Q

aCot(kØ)

Reciprocal Identity

A

a / Tan(kØ)

Reciprocal Identity

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5
Q

Cos2(u) - Sin2(u)

Double Angle Formula

A

Cos(2u) [v.1]

Double Angle Formula

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6
Q

2Cos2(u) - 1

Double Angle Formula

A

Cos(2u) [v.2]

Double Angle Formula

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7
Q

1 - Cos2(Ø)

Pythagorean Identity

A

Sin2(Ø)

Pythagorean Identity

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8
Q

Sin2(u)

Half-Angle Formula

A

[1 - Cos(2u)] / 2

Half-Angle Formula

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9
Q

aSec(kØ)

Reciprocal Identity

A

a / Cos(kØ)

Reciprocal Identity

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9
Q

Sin2(Ø)

Pythagorean Identity

A

1 - Cos2(Ø)

Pythagorean Identity

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9
Q

1 - Sin2(Ø)

Pythagorean Identity

A

Cos2(Ø)

Pythagorean Identity

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10
Q

Sec2(Ø) - 1

Pythagorean Identity

A

Tan2(Ø)

Pythagorean Identity

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11
Q

1 - 2Sin2(u)

Double Angle Formula

A

Cos(2u) [v.3]

Double Angle Formula

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12
Q

Cos(2u) [v.2]

Double Angle Formula

A

2Cos2(u) - 1

Double Angle Formula

13
Q

§Sec(u)du

Anti-derivative Function

A

Ln|Tan(u) + Sec(u)| + C

Anti-Derivative Function

15
Q

Cos2(Ø)

Pythagorean Identity

A

1 - Sin2(Ø)

Pythagorean Identity

16
Q

Cos(2u) [v.1]

Double Angle Formula

A

Cos2(u) - Sin2(u)

Double Angle Formula

17
Q

aSin(kØ)

Reciprocal Identity

A

a / Csc(kØ)

Reciprocal Identity

17
Q

aTan(kØ)

Reciprocal Identity

A

a / Cot(kØ)

Reciprocal Identity

18
Q

Ln|Tan(u) + Sec(u)| + C

Anti-Derivative Function

A

§Sec(u)du

Anti-derivative Function

19
Q

aCsc(kØ)

Reciprocal Identity

A

a / Sin(kØ)

Reciprocal Identity

20
Q

§Csc(u)du

Anti-Derivative Function

A

-Ln|Cot(u) + Csc(u)| + C

Anti-Derivative Function

22
Q

a / Sin(kØ)

Reciprocal Identity

A

aCsc(kØ)

Reciprocal Identity

24
Q

a / Csc(kØ)

Reciprocal Identity

A

aSin(kØ)

Reciprocal Identity

25
Q

a / Cos(kØ)

Reciprocal Identity

A

aSec(kØ)

Reciprocal Identity

27
Q

Tan2(Ø)

Pythagorean Identity

A

Sec2(Ø) - 1

Pythagorean Identity

29
Q

a / Tan(kØ)

Reciprocal Identity

A

aCot(kØ)

Reciprocal Identity

30
Q

a / Sec(kØ)

Reciprocal Identity

A

aCos(kØ)

Reciprocal Identity

31
Q

-Ln|Cot(u) + Csc(u)| + C

Anti-Derivative Function

A

§Csc(u)du

Anti-Derivative Function

33
Q

Sec2(Ø)

Pythagorean Identity

A

Tan2(Ø) + 1

Pythagorean Identity

34
Q

aCos(kØ)

Reciprocal Identity

A

a / Sec(kØ)

Reciprocal Identity

35
Q

2Sin(u)Cos(u)

Double Angle Formula

A

Sin(2u)

Double Angle Formula

36
Q

Csc2(Ø)

Pythagorean Identity

A

Cot2(Ø) + 1

Pythagorean Identity

37
Q

Cot2(Ø)

Pythagorean Identity

A

Csc2(Ø) - 1

Pythagorean Identity

38
Q

Cos2(u)

Half-Angle Formula

A

[1 + Cos(2u)] / 2

Half-Angle Formula

39
Q

Csc2(Ø) - 1

Pythagorean Identity

A

Cot2(Ø)

Pythagorean Identity

40
Q

[1 + Cos(2u)] / 2

Half-Angle Formula

A

Cos2(u)

Half-Angle Formula

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