FIND THE PRODUCT OF COMPLEX NUMBERS IN POLAR FORM WORKSHEET

Find the product of the complex numbers. Leave answers in polar form.

Problem 1 :

z₁ = 6(cos 20° + i sin 20°)

z₂ = 5(cos 50° + i sin 50°)

Problem 2 :

z₁ = 4(cos 15° + i sin 15°)

z₂ = 7(cos 25° + i sin 25°)

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Problem 7 :

z₁ = 1 + i

z₂ = -1 + i

Problem 8 :

z₁ = 1 + i

z₂ = 2 + 2i

1)  z₁ ⋅ z₂ = 30(cos 70° + i sin 70°)

2)  z₁ ⋅ z₂ = 28(cos 40° + i sin 40°)