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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 :

LammettHash

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

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