Find a complex number for which Arg(z bar) does not equal -Arg(z).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a complex number for which Arg(z bar) does not equal -Arg(z).

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Step 1

For all non zero complex number we have Arg(z bar) = - Arg (z) 

as if z = x+iy 

which imples z¯ = x - iy 

Arg(z)= tan-1(yx)

and Arg (z¯) = tan-1(-yx) = - tan-1(yx) 

which implies Arg(z) = Arg(z¯) .

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