Show that the Maslen method gives: (tan theta_{mathrm{s}}=left[11-left(121-48 tan ^{2} theta_{mathrm{c})}^{1 / 2} ight] / 2 tan

Show that the Maslen method gives: \(\tan \theta_{\mathrm{s}}=\left[11-\left(121-48 \tan ^{2} \theta_{\mathrm{c})}^{1 / 2}\right] / 2 \tan \theta_{\mathrm{c}}\right.\) for the the shock angle \(\theta_{\mathrm{s}}\) of a cone with cone angle \(\theta_{\mathrm{c}}\) in a free stream Mach number of infinity with \(\gamma=1.4\).