Let $$I = \int_ 0 ^ {\pi/3} \tan^{8}\!\left(x\right)\sec\!\left(x\right) \, dx.$$ Express the value of $$\int_ 0 ^ {\pi/3} \tan^{10}\!\left(x\right)\sec\!\left(x\right) \, dx$$ in terms of $I.$

$\displaystyle \int_ 0 ^ {\pi/3} \tan^{10}\!\left(x\right)\sec\!\left(x\right) \, dx =$ .