A) \[{{e}^{\cos \theta }}[\cos (\sin \theta )]\]
B) \[{{e}^{\cos \theta }}[\cos (\cos \theta )]\]
C) \[{{e}^{\sin \theta }}[\sin (\cos \theta )]\]
D) \[{{e}^{\sin \theta }}[\sin (\sin \theta )]\]
Correct Answer: A
Solution :
\[{{e}^{{{e}^{i\theta }}={{e}^{\cos \theta +i\sin \theta }}={{e}^{\cos \theta }}[{{e}^{i\sin \theta }}]}}\]\[={{e}^{\cos \theta }}[\cos (\sin \theta )+i\sin (\sin \theta )]\] \ Real part of \[{{e}^{{{e}^{i\theta }}}}\]is \[{{e}^{\cos \theta }}[\cos (\sin \theta )]\]
You need to login to perform this action.
You will be redirected in
3 sec
