Polar Representation of Complex Numbers

Express $\sin 30°+i\cos 30°$ in polar form.

Convert the complex number $\frac{(\sqrt{3}-1)-(\sqrt{3}+1)i}{2\sqrt{2}}$ into polar form.

Convert the complex number $\frac{1-7i}{(2+i{)}^2}$ into polar form.

Convert the complex number $\frac{2+6\sqrt{3}i}{5+\sqrt{3i}}$ into polar form.

Convert the complex number $\frac{5-i}{2-3i}$  into polar form.

Convert the complex number $\frac{1+3i}{1-2i}$  into polar form.

Convert the complex number $i(1+i)$  into polar form.

Find the modulus and the amplitude of the complex number $\frac{1-3i}{1+2i}$.

Find the modulus and the amplitude of the complex number $\frac{-3}{1-i}$.

Find the modulus and the amplitude of the complex number $\frac{1-i}{1+i}$.

Find the modulus and the amplitude of the complex number $3\sqrt{2}-3\sqrt{2}i$.

Find the modulus and the amplitude of the complex number $2(-1+i\sqrt{3})$.

Find the modulus and the amplitude of the complex number $-\frac{1}{2}+i\frac{\sqrt{3}}{2}$.

Convert the complex number $-3i$ into the polar form and represent them in Argand plane.

Convert the complex number $i$ into the polar form and represent them in Argand plane.

Convert the complex number $2$ into the polar form and represent them in Argand plane.

Convert the complex number $-1-i$  into the polar form and represent them in Argand plane.

Convert the complex number $-1+i$  into the polar form and represent them in Argand plane.

Convert the complex number $1-i$  into the polar form and represent them in Argand plane.

Convert the complex number $1-i\sqrt{3}$  into the polar form and represent them in Argand plane.