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 :

z1=3cos 𝜋5+i sin 𝜋5z2=4cos 𝜋10+i sin 𝜋10

Problem 4 :

z1=3cos 5𝜋8+i sin 5𝜋8z2=10cos 𝜋16+i sin 𝜋16

Problem 5 :

z1=cos 𝜋4+i sin 𝜋4z2=cos 𝜋3+i sin 𝜋3

Problem 6 :

z1=cos 𝜋6+i sin 𝜋6z2=cos 𝜋4+i sin 𝜋4

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°)

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