Multiple Choice Questions on Evaluate the arg 1 i of the given equation ........ for NDA Exam Preparation

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Multiple Choice Questions

Evaluate the arg 1 i of the given equation ........

Mathematics (NDA) Complex Numbers
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    Evaluate the arg(-1+i) of the given equation? 

    7π/4 

    Incorrect Answer

    5π/4 

    Incorrect Answer

    π/4 

    Incorrect Answer

    3π/4 

    Correct Answer
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    Explanation:

      Let  (-1+i) = r (cosθ  + i sin θ) 

    Then ,  r cos θ=-1 , r sinθ = 1 

    Therefore , r= √2 

    And cos θ= -1/√2 , sin θ= 1/√2 

    Thus , θ  = 3π/4 

    Therefore ,  arg(z) = 3π/4 

     

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