Find the product in the complex plane 1/4(cos Pi/6 +i sin pi/6) + 8 (cos pi/6 + i sin pi/6)

Using mathematically precise language, explain in detail how you would multiply the complex number z, = (cos & +i sin 4) with the complex number z, = r, (cos 8, +i sin 6,).

Write the standard form of the complex number 4(cos(4π÷3)+isin(4π÷3)    Find the product: [4(cos(π/3)+isin(π/3)][3(cos(5π/6)+isin(5π/6).   Find the qoutient: cos150\deg + i sin150\deg /2(cos50\deg + isin50\deg).   Use DeMoivre's Theorem to find the power of the complex number: [2(cos4π/15 + isin4π/15)]5   Find all solutions of x5 - 32 = 0. Leave the answer in trigonometric form.

do Use residues to find 4+3 sin 0