question_answer

If tan 18 = K then \[\frac{\mathbf{tan16}{{\mathbf{2}}^{\mathbf{o}}}\mathbf{+tan7}{{\mathbf{2}}^{\mathbf{o}}}}{\mathbf{k+tan10}{{\mathbf{8}}^{\mathbf{o}}}}\] is equal to

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

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

C)  1                                                                    

D) \[-\,1\]

E) None of these