question_answer

Find the value of\[\frac{{{\mathbf{k}}^{\mathbf{2}}}\mathbf{-1}}{{{\mathbf{k}}^{\mathbf{2}}}\mathbf{+1}}\]if\[\mathbf{k}=\mathbf{sec}\theta -\mathbf{tan}\theta \].

A)  \[Sin\text{ }\theta \]                                                      

B)  \[Cos\text{ }\theta \]

C)  \[-Sin\text{ }\theta \]

D)  \[-Cos\text{ }\theta \]

E)  None of these