From beginner to expert, IDNLearn.com has answers for everyone. Ask your questions and receive reliable and comprehensive answers from our dedicated community of professionals.

Let z =8(cos (pi/3) + i sin (pi/3)) and w= 3(cos(pi/6) +

isin (pi/6)

Which statement describes the geometric construction of the product zw on the complex plane?


Sagot :

No statements are given...

At the very least, we can compute the product zw by multiplying the moduli and adding the arguments. That is, if

z = 8 (cos(π/3) + i sin(π/3))

w = 3 (cos(π/6) + i sin(π/6))

then their product is

zw = 8•3 (cos(π/3 + π/6) + i sin(π/3 + π/6))

zw = 24 (cos(π/2) + i sin(π/2))

zw = 24i

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.