If `z=pi/4(1+i)^4((1-sqrt(pi)i)/(sqrt(pi)+i)+(sqrt(pi)-i)/(1+sqrt(pi)i)),then"((|z|)/(a m p(z)))` equal

Let z_1=((1+sqrt(3)i)^2(sqrt(3)-i))/(1-i) and z_2=((sqrt(3)+i)^2(1-sqrt(3)i))/(1+i) then

z=(1-i)/(cos(pi/3)+i sin(pi/3))

" If "z=sqrt((1-i)/(1+i))" ,then arg z"=

Prove that (i)(1-sqrt(3)i)=2((cos)(pi)/(3)-i(sin)(pi)/(3))

If z=cos((pi)/(4))+i sin((pi)/(6)), then

If i=sqrt(-1) then (cos(pi/3)+i sin(pi/3))^3=

I_(1) = int_(pi/6)^(pi/3) (dx)/(1+sqrt(tanx)) and I_(2) = (sqrt(sinx)dx)/(sqrt(sinx) + sqrt(cosx)) What is I_(1) equal to ?

The amplitude of (1+i sqrt(3))/(sqrt(3)+i) is (pi)/(3) b.-(pi)/(6) c.(pi)/(3) d.(pi)/(6)

If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Im (z) equals to