Find the product of z1=2/3(cos 60 degree +i sin 60 degree) and where . (1 point) Responses Image with alt text: z subscript 1 baseline z subscript 2 baseline equals 9.67 cos 80 degree-sign Image with alt text: z subscript 1 baseline z subscript 2 baseline equals 6 cis 80 degree-sign Image with alt text: z subscript 1 baseline z subscript 2 baseline equals 6 cis 40 degree-sign
The product of z1 = 2/3(cos 60 degrees + i sin 60 degrees) and z2 = 9(cos 80 degrees + i sin 80 degrees) is:
z1 * z2 = (2/3)(9)(cos 60 degrees + i sin 60 degrees)(cos 80 degrees + i sin 80 degrees)
= 6(cos 140 degrees + i sin 140 degrees)
Therefore, the product is z1 * z2 = 6(cos 140 degrees + i sin 140 degrees).