If z=cospi/4+isinpi/6 , then |z|=1, arg(...

If `z=cospi/4+isinpi/6` , then `|z|=1, arg(z)=\ pi/4` b. `|z|=1, arg(z)=\ pi/6` c. `|z|=(sqrt(3))/2, arg(z)=(25pi)/(24)` d. `|z|=(sqrt(3))/2, arg(z)=tan^(-1)1/(sqrt(2))`

A

`|z|=1,arg(z)= pi/4`

B

`|z|=1, arg|z|= pi/6`

C

`|z|=sqrt3/2,arg z = ( 5pi)/24`

D

`|z|=sqrt3/2 , arg z = tan^(-1) (1/sqrt2)`

Text Solution

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The correct Answer is:

D

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