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What is the principal argument of 1 1+i where i= -1 ?

Options

  1. A- 3 4
  2. B- 4
  3. C4
  4. D3 4

Correct answer

B. - 4

Step-by-step solution

Let Z = 1 1+ i 1- i 1- i = 1- i 1+1 = 1 2 - 1 2 i = | - 1 2 1 2 |=1= 4 = 4 But z lies in 4^ th quadrant Principal argument = - 4

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