Matte del B Flashcards

1
Q

arcsin(-x)

A

-arcsin(x)

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2
Q

arctan(-x)

A

-arctan(x)

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3
Q

arccos(-x)

A

π-arccos(x)

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4
Q

tan(x)=k

A

x=arctan(k)+πn

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5
Q

sin(x)=k

A

x=arcsin(k)+2πn

=π-arcsin(k)+2pπn

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6
Q

cos(x)=k

A

x=arccos(k)+2πn

=-arccos(k)+2πn

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7
Q

acos(v)+bsin(v)=

A

(rotenur(a^2+b^2))*sin(v+arctan(a/b)+nπ)

där
n=0 om b>0
n=1 om b<0

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8
Q

r=|z|

arg(z)=

A

r=|z|=rotenur(Re^2+Im^2)

arg(z)=arctan(Im/Re) om Re>0
=π+arctan(Im/Re) om Re<0

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9
Q

a^3-b^3=

A

a^3-b^3=(a-b)(a^2+ab+b^2)

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10
Q

a^3+b^3=

A

a^3+b^3=(a+b)(a^2-ab+b^2)

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11
Q

pascals triangel

A
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12
Q

tan(2v+π/3)=tan(4v-π/6)

A

D(VL)= vDelAvR; 2v+π/3≠π/2+πn
D(HL)=vDelAvR; 4v-π/6≠π/2+πn

<=>

D(VL)= vDelAvR; v≠ bla bla bla
D(HL)=vDelAvR; v≠ bla bla bla

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