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If z = 5(cos(θ) + i sin(θ)), what is the value of z when θ = π/3? (2023)

Practice Questions

1 question
Q1
If z = 5(cos(θ) + i sin(θ)), what is the value of z when θ = π/3? (2023)
  1. 5 + 5i
  2. 5 + 2.5i
  3. 2.5 + 5i
  4. 2.5 + 2.5i

Questions & Step-by-step Solutions

1 item
Q
Q: If z = 5(cos(θ) + i sin(θ)), what is the value of z when θ = π/3? (2023)
Solution: z = 5(cos(π/3) + i sin(π/3)) = 5(1/2 + i√3/2) = 2.5 + 5i√3/2.
Steps: 0

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