Identities/Formulas Flashcards

0
Q

sin(u-v)

A

sinucosv-cosusinv

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1
Q

sin(u+v)

A

sinucosv+cosusinv

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2
Q

cos(u+v)

A

cosucosv-sinusinv

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3
Q

cos(u-v)

A

cosucosv+sinusinv

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4
Q

tan(u+v)

A

1-tanutanv

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5
Q

tan(u-v)

A

1+tanutanv

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6
Q

sin2u

A

2sinucosu

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7
Q

cos2u

A

cos^2u-sin^2u

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8
Q

cos2u

A

1-2sin^2u

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9
Q

cos2u

A

2cos^2u-1

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10
Q

tan2u

A

1-tan^2u

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11
Q

d/dx[f(x)•g(x)]=

A

f(x)g’(x)+g(x)f’(x)

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12
Q

d/dx[f(x)/g(x)]=

A
   (g(x))^2
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13
Q

sin’x=

A

cosx

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14
Q

cos’x=

A

-sinx

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15
Q

tan’x=

A

sec^2x

16
Q

cot’x=

A

-csc^2x

17
Q

sec’x=

A

secxtanx

18
Q

csc’x=

A

-cscxcotx

19
Q

equation of the tangent line

A

y-f(c)=f’(c)(x-c)

20
Q

equation of the normal line

A

y-f(c)=(-1/f’(c))(x-c)

21
Q

Surface Area Of Sphere

A

A=4πr^2

22
Q

Volume of a Cone

A

V=(1/3)Bh

23
Q

Volume of a Sphere

A

V=(4/3)πr^3

24
Q

Pressure and Volume

A

PV=c , c is a constant

25
Q

Area of an Ellipse

A

A=πab