Find polar representation for the following complex numbers: `z_3=cos a + sina + i (sin a- cos a),a in sin[0,pi/4]`

Find the modulus of the complex number z=cos theta+i sin theta

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

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

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

Find the modulus and argument of the following complex number and convert them in polar form: (i-1)/[cos(pi/3)+isin(pi/3)]

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)))

Find the modulus and argument of the following complex number and hence express them in the polar form: sin 120^@-i\ cos 120^@

Find the absolute values and arguments of following complex numbers : i cos frac (pi)(6)+ sin frac (pi)(6) .