smromero068 smromero068
  • 06-05-2021
  • Mathematics
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What is the product of 16(cos(47)+isin(47)) and 4(cos(12)+isin(12))?

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LammettHash
LammettHash LammettHash
  • 07-05-2021

Write both complex numbers in polar form: (exp(x) is the same as e ˣ)

z = 16 (cos(47°) + i sin(47°)) = 16 exp(i 47°)

w = 4 (cos(12°) + i sin(12°)) = 4 exp(i 12°)

→   zw = 64 exp(i (47° + 12°)) = 64 exp(i 59°)

→   zw = 64 (cos(59°) + i sin(59°))

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