If 15sin4$\alpha$ + 10cos4$\alpha$ = 6, for some $\alpha$$\in$R, then the value of 27sec6$\alpha$ + 8cosec6$\alpha$ is equal to :

Question

If 15sin⁴$\alpha$ + 10cos⁴$\alpha$ = 6, for some $\alpha$$\in$R, then the value of

27sec⁶$\alpha$ + 8cosec⁶$\alpha$ is equal to :