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Real part of e^{e^{10}} is equal to

Option: 1

e^{\cos \theta}.\left ( \cos\left ( \sin \theta \right ) \right )


Option: 2

e^{\cos \theta}.\left ( \cos\left ( \cos \theta \right ) \right )


Option: 3

e^{\sin \theta}.\left ( \sin\left ( \cos \theta \right ) \right )

 


Option: 4

e^{\sin \theta}.\left ( \sin\left ( \sin \theta \right ) \right )


Answers (1)

best_answer

Answer (1)

e^{e^{i \theta}}=e^{\cos \theta+i \sin \theta}=e^{\cos \theta}.e^{i \sin \theta}

        =e^{\cos \theta}.\left [ \cos \left ( \sin \theta \right )+i \sin \left ( \sin \theta \right ) \right ]

         =e^{\cos \theta}.\cos \left ( \sin \theta \right )+ie^{\cos \theta}\left ( \sin \left ( \sin \theta \right ) \right )

                 (Real part)                    (Imaginary part)

 

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Pankaj Sanodiya

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