Find the principal argument of the complex number `sin(6pi)/5+i(1+cos(6pi)/5)dot`

Find the modulus, argument, and the principal argument of the complex numbers. (i-1)/(i(1-cos((2pi)/5))+sin((2pi)/5)

Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))^2)/(-2i(-sqrt(3)+i))

The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i(1 - i sqrt(3))) is