question_answer

Find the value of \[\frac{\cos 60{}^\circ +\sin 45{}^\circ -\cot 30{}^\circ }{\tan 60{}^\circ +\sec 45{}^\circ -\operatorname{cosec}30{}^\circ }\]\[\div \frac{\sin 30{}^\circ +\sin 45{}^\circ -\tan 60{}^\circ }{\cot 30{}^\circ +\operatorname{cosec}45{}^\circ -sec60{}^\circ }\].

A)  \[\frac{2+\sqrt{2}-2\sqrt{6}}{2\sqrt{6}+4-4\sqrt{2}}\]    

B)  \[1\]

C)  \[\frac{2-\sqrt{2}-2\sqrt{6}}{2\sqrt{6}+4+4\sqrt{2}}\]    

D)  \[0\]

E)  None of these