question_answer

If \[\text{sec}\theta =\text{2p}\] and \[\tan \theta =\frac{\text{2}}{p}\] find the value\[2\left( {{p}^{2}}-\frac{1}{{{p}^{2}}} \right)\].

A)  \[\frac{1}{2}\]  

B)                         \[\frac{1}{\sqrt{2}}\]

C)  \[\frac{1}{4}\]                  

D)         \[\frac{1}{8}\]