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What is the principal value of amplitude of  - i ?

  1. -π/3
  2. π/6
  3. π/3
  4. -π/6

Answer (Detailed Solution Below)

Option 4 : -π/6
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Detailed Solution

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Concept:

when z = x + iy then, Principal amplitude of a complex number, θ = tan-1()

tan  = 

x > 0, y < 0, The point lies in IVth quadrant.

Calculation:

Let θ be the principal value of amplitude of   - i

Since, tan θ =  and - i lies in IVth quadrant.

 tan θ = tan (-), θ = -

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