Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

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)

 

Posted by

Pankaj Sanodiya

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Amrita BTech Admission 2025: JEE Main-based registration deadline extended to August 30
anam-khan

DASA, CSAB Special round 2 seat allotment result 2025 declared on csab.nic.in

Latest Question