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z and omega are two nonzero complex numb...

z and `omega` are two nonzero complex number such that `|z|=|omega|" and "Argz+Arg omega= pi` then z equals

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`arg(w) = theta.` Then `arg(z) = pi - theta`. Therefore ,
`w= |w| (cos theta + isin theta)`
`and z|z| (cos (pi - theta) + sin (pi- theta))`
`=|w| (-cos theta + I sin theta )" "[because|z| = |w|]`
`= -|w| (cos theta - isin theta) = - barw`.
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