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Question

The principle value of the amplitude of (1 + i) is 


  1. π4

  2. π12

  3. 3π4

  4. π


Solution

The correct option is A

π4


Let z = (1 + i)

tan α=Im(z)Re(z)=1 α=π4

Since, z lies in the first qudrant,

Therefore, arg (z) = π4

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