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If z = 2(cos(π/4) + i sin(π/4)), find the rectangular form of z.

Practice Questions

1 question
Q1
If z = 2(cos(π/4) + i sin(π/4)), find the rectangular form of z.
  1. √2 + √2i
  2. 2 + 2i
  3. 1 + i
  4. 0 + 0i

Questions & Step-by-step Solutions

1 item
Q
Q: If z = 2(cos(π/4) + i sin(π/4)), find the rectangular form of z.
Solution: z = 2(cos(π/4) + i sin(π/4)) = 2(√2/2 + i√2/2) = √2 + √2i.
Steps: 6

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