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  • Principal value of the argument of cos 1200^{o}+i sin 1200^{o} is:

Principal value of the argument of \cos 1200^{o}+i \sin 1200^{o} is:  
 

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Principal value of argument \in \left ( -\pi ,\pi \right )

      cos(1200^\circ ) +isin(1200^\circ )
      cos(6\pi +2\pi /3 ) +isin(6\pi +2\pi /3)
     cos(2\pi /3 ) +isin(2\pi /3)                         cos(2n\pi +\theta )= cos\theta
                                                                                 sin (2n\pi +\theta )=sin\theta
      Hence, Principal value of argument=2\pi /3

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Rakesh

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