
Jason D. answered 07/10/21
PhD in Chemical Engineering with 30+ Years of Teaching Experience
z1=21(cos260°+isin260°) = 21(-sin10 - icos10) = -21(sin 10 + i Cos10)
z2=3(cos170°+isin170°)= 3(-cos 10 +i sin10)
z1/z2= (-21 (sin 10 + i Cos10))/(-3(cos 10 - i sin10))
multiply numerator and denominator by (cos 10 - i sin10)
z1/z2= 7 (sin 10 cos 10 +i sin2 10 +i cos2 10 +i2 sin10 cos 10) = 7i