Respuesta :
Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = 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
Answer: -8i
2(cos 70 + i sin 70) * 4(cos 200 +isin 200)
8 (cos (70+200) + i sin (70+200) factor a i sin 70 out
8 (cos(270) + i sin (270))
cos 270 is (0,-1) sin 270 is -1 from the unit circle
cos 270 is 0
8 (0 -i)
-8i