If z = ( 1 + i 1 − i ) 50 , find the principal value of ar g z .

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MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

If $z = (\frac{1 - i}{1 + i})^{50}$ , find the principal value of $ar g z$ .

Answer:

Solution:

(1-i)/(1+i)=-i, so z=(-i)^50=-1. Its principal argument is pi.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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