Maths - Formulae Flashcards

0
Q

Binomial Range

A

-1 < x < 1

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1
Q

Binomial Expansion

A

1+ nx+ n(n-1)x^2 + n(n-1)(n-2)x^3
———- —————-
2! 3!

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2
Q

Sin^2x + Cos^2x

A

1

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3
Q

Tanx

A

Cosx

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4
Q

Sec^2x

A

1 + tan^2x

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5
Q

Cosec^2x

A

1 + cot^2x

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6
Q

Cotx

A

Sinx

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7
Q

Sin(a+-b)

A

SinaCosb +- CosaSinb

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8
Q

Cos(a+-b)

A

CosaCosb -+ SinaSinb

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9
Q

Tan(a+-b)

A

1 -+ TanaTanb

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10
Q

Secx

A

Cosx

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11
Q

Cosecx

A

Sinx

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12
Q

Cotx

A

Cosx 1
—— = ——
Sinx Tanx

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13
Q

Sin2x

A

2(SinxCosx)

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14
Q

Cos2x

A

Cos^2x - Sin^2x

2Cos^2x - 1

1 - 2Sin^2x

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15
Q

Tan2x

A

1 - Tan^2x

16
Q

Volumes of Revolution

A

V = ∫ π y^2

17
Q

Dy
— Ln(x)
Dx

A

X