question_answer

If tan \[82{}^\circ \] = K, then \[\frac{\mathbf{tan16}{{\mathbf{4}}^{\mathbf{o}}}\mathbf{+cot}\,{{\mathbf{8}}^{\mathbf{o}}}}{\mathbf{K+cot}\,\mathbf{10}{{\mathbf{6}}^{\mathbf{o}}}}\] is equal to__________

A)  K                                                                    

B)  \[{{K}^{2}}+1\]       

C)  \[\frac{{{k}^{2}}-1}{{{k}^{2}}+1}\]                        

D)        1

E) None of these