Standard Results C6,7,9 Flashcards

1
Q

Sec(x) =

A

1 / cos(x)

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2
Q

Cosec (x) =

A

1 / sin(x)

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3
Q

Cot(x) =

A

1 / tan(x)

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4
Q

Equation linking tan^2(x) and sec^2(x)

A

1 + tan^2(x) = sec^2(x)

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5
Q

Equation linking cot^2(x) and cosec^2(x)

A

1 + cot^2x = cosec^2(x)

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6
Q

Order of differentiation for Sin and Cos

A

Sin to Cos to -Sin to -Cos

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7
Q

Order of integration for sin and cos

A

Sin to -Cos to -Sin to Cos

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8
Q

Differential of sinkx

A

Kcoskx

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9
Q

Differential of coskx

A

-ksinkx

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10
Q

Differential of e^x

A

e^x

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11
Q

Differential of e^kx

A

Ke^kx

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12
Q

Differential of Ln(x)

A

1/x

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13
Q

Differential of a^x

A

A^xlna

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14
Q

Differential of a^kx

A

KA^kxlna

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15
Q

Differential of tan(x)

A

Sec^2(x)

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16
Q

Differential of sec(x)

A

Sec(x)tan(x)

17
Q

Differential of cot(x)

A

-cosec^2(x)

18
Q

Differential of cosec(x)

A

-cosecxcotx

19
Q

Sin(a+-b)=

A

SinaCosb +- CosaSinb

20
Q

Cos(A+-B)

A

CosAcosB -+ SinASinB

21
Q

Tan(A+-B) =

A

tanA +- tanB / 1 -+ tanAtanB

22
Q

Sin(2A) =

A

2sinAcosB

23
Q

Cos(2A) =

A

Cos^2A - Sin^2A ; 2cos^2A - 1 ; 1-2Sin^2A

24
Q

Tan2A=

A

(2TanA / 1 -Tan^2A