If amp(z)=phi then find out amp(-z)
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Solution :
--> amp ( -z ) = amp ( z ) = Φ
Reason :
[tex]Let \ z = x+iy \\ =\ \textgreater \ amp(z) = tan^{-1} \frac{y}{x} = \phi \\ \\ =\ \textgreater \ -z = (-x) + i(-y) \\ =\ \textgreater \ amp( -z ) = tan^{-1} \frac{-y}{-x} =tan^{-1} \frac{y}{x} =\phi[/tex]
Hope this helps ^_^
--> amp ( -z ) = amp ( z ) = Φ
Reason :
[tex]Let \ z = x+iy \\ =\ \textgreater \ amp(z) = tan^{-1} \frac{y}{x} = \phi \\ \\ =\ \textgreater \ -z = (-x) + i(-y) \\ =\ \textgreater \ amp( -z ) = tan^{-1} \frac{-y}{-x} =tan^{-1} \frac{y}{x} =\phi[/tex]
Hope this helps ^_^
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