## interprétation géométrique du module et de l argument

### arg(z1+z2)

#### Exercice 1 (4 pts ) On considère, ci-dessous, la courbe (Cf) d'une

results For instance, if z = rei' and z = rei' , then (provided that Arg is used in the sense of taking any real value) Arg(zz) = Arg(rei' rei' ) = Arg( rrei('+' )) = '+' = Arg(z)+Arg(z) We can use the same idea to obtain well known trigonometric formulae as follows Using exp(z + w) = exp(z) exp(w), PDF Solutions for Math Assignment # math ualberta ca ~xichen mathf hwsol pdf PDF Math Spring Theory of Functions of a Complex Variable math ualberta

### 2 Complex Numbers

#### results For instance, if z = rei' and z = rei' , then (provided that Arg is used in the sense of taking any real value) Arg(zz) = Arg(rei' rei' ) = Arg( rrei('+' )) = '+' = Arg(z)+Arg(z) We can use the same idea to obtain well known trigonometric formulae as follows Using exp(z + w) = exp(z) exp(w),

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