Find the product of z1 and z2, where z1 = 2(cos 70° + i sin 70°) and z2 = 4(cos 200° + i sin 200°)
Accepted Solution
A:
Answer:-8iStep-by-step explanation:To multiply numbers is polar formz1 = r1 ( cos theta 1 + i sin theta 1)z2 = r2 ( cos theta 2 + i sin theta 2)z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)z1 = 2(cos 70° + i sin 70°) z2 = 4(cos 200+ i sin 200)z1z2 = 2*4 (cos (70+200) + i sin (70+200)z1z2 = 8 (cos(270) + i sin (270)) = 8 (0 + i (-1)) =-8i