Find the principla argument of the complex number `z=1-i`

bb"Statement-1" If the principal argument of a complex number z is 0, the principal argument of z^(2) " is " 2theta . bb"Statement-2" arg(z^(2))=2arg(z)

Find argument of the complex numbers z = sqrt3 + i

Find modulus and argument of the complex numbers z=-1-isqrt(3)

Find the modulus and arguments of the complex numbers. (i) (1+i)/(1-i) , (ii) 1/(1+i)

Let z_(1) and z_(2) be two distinct complex numbers and z=(1-t)z_(1)+iz_(2) , for some real number t with 0 lt t lt 1 and i=sqrt(-1) . If arg(w) denotes the principal argument of a non-zero complex number w, then

Find the polar form of the complex number z=-1+ sqrt(3)i

Find modulus and argument of the complex numbers z=-sqrt(3)+i

Find the modulus and the arguments of the following complex numbers : 1+i sqrt(3)

Find the modulus and the arguments of the following complex numbers : (1+2i)/(1-3i)