simplify `(i-1)/(cos((pi)/(3))+i sin((pi)/(3))`

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

Convert the complex number z=(i-1)/(cos(pi)/(3)+i sin(pi)/(3)) in the polar form.

Two of the three value of (-1)^((1)/(3)) are cos((pi)/(3))+i sin((pi)/(3)) and cos((5 pi)/(3))+i sin((5 pi)/(3)) the third value is

Find the modulus and argument of the following complex number and correct then in polar form: (i-1)/((cos pi)/((cos pi)/(3)+i(sin pi)/(3)))

write in the form A+iB[1+cos((pi)/(3))+i sin((pi)/(3))]^(6)

The continued product of the four values of (cos((pi)/(3))+i sin((pi)/(3)))^((3)/(4)) is

The continued product of the four values of (cos((pi)/(3))+i sin((pi)/(3)))^((3)/(4)) is

Convert the complex number 3(cos(5(pi)/(3))-i sin((pi)/(6))) into polar form.

Find the value of following expression: [(1-cos(pi)/(10)+i sin(pi)/(10))/(1-cos(pi)/(10)-i sin(pi)/(10))]^(10)