question_answer

If \[\tan 72{}^\circ =k,\] then \[\frac{\tan 136{}^\circ +\cot 18{}^\circ }{k+\cot 134{}^\circ }\] is equal to ________.

A)  0                                

B)  \[{{k}^{2}}+1\]

C)  \[\frac{k+1}{k-1}\]                   

D)  \[1\] 

E)  None of these