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Let z=i^(3)(1+i) be a complex number. Wh...

Let `z=i^(3)(1+i)` be a complex number. What is its argument ?

A

`pi`

B

`(pi)/(4)`

C

`-(pi)/(4)`

D

`(5pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
The complex number is `z=i^(3)(1+i)=-i(1+i)=-i=i^(2)`
`impliesz=1-i`
This gives, arg `(z)=tan^(-1)((-1)/(1))=tan^(-1)(-1)=-(pi)/(4)`
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