If \[\alpha .\beta .\gamma \in R,\]then the determinant\[\Delta =\left| \begin{matrix} {{({{e}^{i\alpha }}+{{e}^{-i\alpha }})}^{2}} & {{({{e}^{i\alpha }}-{{e}^{-i\alpha }})}^{2}} & 4 \\ {{({{e}^{i\beta }}+{{e}^{-i\beta }})}^{2}} & {{({{e}^{i\beta }}-{{e}^{-i\beta }})}^{2}} & 4 \\ {{({{e}^{i\gamma }}+{{e}^{-i\gamma }})}^{2}} & {{({{e}^{i\gamma }}-{{e}^{-i\gamma }})}^{2}} & 4 \\ \end{matrix} \right|\] is

• A. Independent of \[\alpha ,\beta \] and \[\gamma \]
• B. Dependent on \[\alpha ,\beta \] and \[\gamma \]
• C. Independent of \[\alpha ,\beta \] only
• D. Independent of \[\alpha ,\gamma \] only