\[\int_{{}}^{{}}{\cos 2\theta \log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\ d\theta =}\] [IIT 1994]

\[{{(\cos \theta -\sin \theta )}^{2}}\log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\]

\[{{(\cos \theta +\sin \theta )}^{2}}\log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\]

\[\frac{{{(\cos \theta -\sin \theta )}^{2}}}{2}\log \left( \frac{\cos \theta -\sin \theta }{\cos \theta +\sin \theta } \right)\]

\[\frac{1}{2}\sin 2\theta \log \tan \left( \frac{\pi }{4}+\theta \right)-\frac{1}{2}\log \sec 2\theta \]

\[\int_{{}}^{{}}{\cos 2\theta \log \left( \frac{\cos \theta +\sin \the

1.	\[\int_{{}}^{{}}{\cos 2\theta \log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\ d\theta =}\] [IIT 1994]
A.	\[{{(\cos \theta -\sin \theta )}^{2}}\log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\]
B.	\[{{(\cos \theta +\sin \theta )}^{2}}\log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\]
C.	\[\frac{{{(\cos \theta -\sin \theta )}^{2}}}{2}\log \left( \frac{\cos \theta -\sin \theta }{\cos \theta +\sin \theta } \right)\]
D.	\[\frac{1}{2}\sin 2\theta \log \tan \left( \frac{\pi }{4}+\theta \right)-\frac{1}{2}\log \sec 2\theta \]
Answer» E.

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\[\int_{{}}^{{}}{\cos 2\theta \log \left( \frac{\cos \theta +\sin \theta }{\cos \theta -\sin \theta } \right)\ d\theta =}\] [IIT 1994]

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