Nombres complexes Flashcards

1
Q

z = ?

A

a+ib = cos¥ + isin¥

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2
Q

z(conjugué) = ?

A

a-ib = cos¥ - isin¥

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3
Q

|z| = ?

A

sqrt{a^2+b^2}

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4
Q

|z|^2 = ?

A

zz(conjugé)

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5
Q

|zz’|= ?

A

|z||z’|

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6
Q

|z/z’|= ?

A

|z|/|z’|

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7
Q

|z+z’|<ou égal ?

A

|z|+|z’| (Inégalité triangulaire)

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8
Q

Formule d’Euler :
Cos¥ = ?

A

(e^i¥ + e^-i¥)/2

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9
Q

Formule d’Euler :
Sin¥ = ?

A

(e^i¥ - e^-i¥)/2i

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