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 ........

7π/4 

Incorrect Answer

5π/4 

Incorrect Answer

π/4 

Incorrect Answer

3π/4 

Correct Answer
Explanation:

  Let  (-1+i) = r (cosθ  + i sin θ) 

Then ,  r cos θ=-1 , 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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