question_answer

The equation \[{{3}^{\sin 2x+2{{\cos }^{2}}x}}+{{3}^{1-\sin 2x+2si{{n}^{2}}x}}=28\] is satisfied for the value(s) of x given by ________.

A)  \[tan\,x=2\]                 

B)  \[cos\,x=0,\text{ }tan\,x=-\,1\]

C)  \[cos\,x=1,\text{ }tan\,x=1\]                    

D)  \[tan\,x=-\,2\]                         

E)  None of these