question_answer

If \[\left| \cos \theta \,\left\{ \sin \theta +\sqrt{{{\sin }^{2}}\theta +{{\sin }^{2}}\alpha } \right\} \right|\,\,\le k,\] then the value of k is

A)  \[\sqrt{1+{{\cos }^{2}}\alpha }\]                    

B)  \[\sqrt{1+{{\sin }^{2}}\alpha }\]

C)  \[\sqrt{2+{{\sin }^{2}}\alpha }\]                     

D)  \[\sqrt{2+{{\cos }^{2}}\alpha }\]

E)  None of these