Quick Final Mem Flashcards by Jacob Cucinello | Brainscape

Q

Sin²X + _____ = 1

A

Cos²X

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Q

1 + Tan²X =

A

Sec²X

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Q

1 + Cot²X =

A

Csc²X

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Q

Sin-X =

A

-SinX

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Q

Cos-X

A

CosX

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Q

Tan-X

A

-TanX

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Q

Sin(a+b) =

A

SinaCosb + SinbCosa

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Q

Sin(a-b) =

A

SinaCosb - SinbCosa

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Q

Cos(a+b) =

A

CosaCosb - SinaSinb

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Q

Cos(a-b) =

A

CosaCosb + SinaSinb

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Q

Sin2X =

A

2SinXCosX

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Q

Cos2X =

A

Cos²X - Sin²X

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Q

Cos²X - Sin²X =

A

2Cos²X - 1

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Q

2Cos²X - 1 =

A

1 - 2Sin²X

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Q

Cos(pi/2 - X) =

A

SinX

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Q

Sin(pi/2 - X) =

A

CosX

Q

lim n->∞ (1+1/n)^n =

A

e

Q

lim n->0 (1+1/n)^(1/n) =

A

e

Q

∫Sec(u)du =

A

lnISecU+TanUI + C

Q

∫Csc(u)du =

A

lnICscU-CotUI + C

Q

∫du/sqrt(a² - u²) =

A

ArcSin(u/a) + C

Q

∫du/sqrt(a² + u²) =

A

(1/a)ArcTan(u/a) + C

Q

∫du/uSqrt(u² - a²) =

A

(1/a)ArcSec(u/a) + C

Q

d/dx(ArcSinX) =

A

1/Sqrt(1-X²)

Q

d/dx(ArcCosX) =

A

-1/Sqrt(1-X²)

Q

d/dx(ArcTanX) =

A

1/(1+X²)

Q

d/dx(ArcCotX) =

A

-1/(1+X²)

Q

d/dx(ArcSecX) =

A

1/[Xsqrt(X²-1)]

Q

d/dx(ArcCscX) =

A

-1/[Xsqrt(X²-1)]