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
§Csc(u)du ## Footnote Anti-Derivative Function
-Ln|Cot(u) + Csc(u)| + C Anti-Derivative Function
22
a / Sin(kØ) Reciprocal Identity
aCsc(kØ) Reciprocal Identity
24
a / Csc(kØ) ## Footnote Reciprocal Identity
aSin(kØ) Reciprocal Identity
25
a / Cos(kØ) Reciprocal Identity
aSec(kØ) Reciprocal Identity
27
Tan2(Ø) Pythagorean Identity
Sec2(Ø) - 1 Pythagorean Identity
29
a / Tan(kØ) Reciprocal Identity
aCot(kØ) Reciprocal Identity
30
a / Sec(kØ) ## Footnote Reciprocal Identity
aCos(kØ) Reciprocal Identity
31
-Ln|Cot(u) + Csc(u)| + C Anti-Derivative Function
§Csc(u)du ## Footnote Anti-Derivative Function
33
Sec2(Ø) ## Footnote Pythagorean Identity
Tan2(Ø) + 1 Pythagorean Identity
34
aCos(kØ) Reciprocal Identity
a / Sec(kØ) ## Footnote Reciprocal Identity
35
2Sin(u)Cos(u) Double Angle Formula
Sin(2u) Double Angle Formula
36
Csc2(Ø) Pythagorean Identity
Cot2(Ø) + 1 Pythagorean Identity
37
Cot2(Ø) Pythagorean Identity
Csc2(Ø) - 1 Pythagorean Identity
38
Cos2(u) Half-Angle Formula
[1 + Cos(2u)] / 2 Half-Angle Formula
39
Csc2(Ø) - 1 Pythagorean Identity
Cot2(Ø) Pythagorean Identity
40
[1 + Cos(2u)] / 2 Half-Angle Formula
Cos2(u) Half-Angle Formula