question_answer

If \[\frac{\mathbf{sin}\,\mathbf{P}}{\mathbf{sin}\,\mathbf{Q}}\]= K and \[\frac{\mathbf{tan}\,\mathbf{P}}{\mathbf{tan}\,\mathbf{Q}}\]= I then \[\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\]p is equal to ______

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

B)  \[\frac{{{I}^{2}}-{{k}^{2}}}{k}\]

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

D) \[\frac{{{k}^{2}}-1}{{{I}^{2}}-1}\]

E) None of these