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If z = 2(cos(π/3) + i sin(π/3)), what is z in rectangular form? (2022)

Practice Questions

1 question
Q1
If z = 2(cos(π/3) + i sin(π/3)), what is z in rectangular form? (2022)
  1. 1 + √3i
  2. 2 + √3i
  3. 1 + 2i
  4. 2 + 2i

Questions & Step-by-step Solutions

1 item
Q
Q: If z = 2(cos(π/3) + i sin(π/3)), what is z in rectangular form? (2022)
Solution: Using Euler's formula, z = 2(cos(π/3) + i sin(π/3)) = 2(1/2 + i√3/2) = 1 + √3i.
Steps: 6

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